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2200031322320 = 245135961758111
BaseRepresentation
bin100000000000111100000…
…101011110000011010000
321210022122222001212121102
4200000330011132003100
5242021131004303240
64402402550243532
7314642553455546
oct40007405360320
97708588055542
102200031322320
117790343659a7
122b646a0565a8
1312c6011cc360
14786a6ba5d96
153c36408c815
hex2003c15e0d0

2200031322320 has 160 divisors (see below), whose sum is σ = 5611080867840. Its totient is φ = 797243166720.

The previous prime is 2200031322301. The next prime is 2200031322373. The reversal of 2200031322320 is 232231300022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2200031322292 and 2200031322301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37830065 + ... + 37888175.

It is an arithmetic number, because the mean of its divisors is an integer number (35069255424).

Almost surely, 22200031322320 is an apocalyptic number.

2200031322320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200031322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805540433920).

2200031322320 is an abundant number, since it is smaller than the sum of its proper divisors (3411049545520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2200031322320 is a wasteful number, since it uses less digits than its factorization.

2200031322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58813 (or 58807 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2200031322320 its reverse (232231300022), we get a palindrome (2432262622342).

The spelling of 2200031322320 in words is "two trillion, two hundred billion, thirty-one million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 59 65 80 104 118 130 208 236 260 295 472 520 590 617 767 944 1040 1180 1234 1534 2360 2468 3068 3085 3835 4720 4936 6136 6170 7670 8021 9872 12272 12340 15340 16042 24680 30680 32084 36403 40105 49360 58111 61360 64168 72806 80210 116222 128336 145612 160420 182015 232444 290555 291224 320840 364030 464888 473239 581110 582448 641680 728060 755443 929776 946478 1162220 1456120 1510886 1892956 2324440 2366195 2912240 3021772 3428549 3777215 3785912 4648880 4732390 6043544 6857098 7554430 7571824 9464780 12087088 13714196 15108860 17142745 18929560 27428392 30217720 34285490 35854487 37859120 44571137 54856784 60435440 68570980 71708974 89142274 137141960 143417948 178284548 179272435 222855685 274283920 286835896 356569096 358544870 445711370 466108331 573671792 713138192 717089740 891422740 932216662 1434179480 1782845480 1864433324 2115414733 2330541655 2868358960 3565690960 3728866648 4230829466 4661083310 7457733296 8461658932 9322166620 10577073665 16923317864 18644333240 21154147330 27500391529 33846635728 37288666480 42308294660 55000783058 84616589320 110001566116 137501957645 169233178640 220003132232 275003915290 440006264464 550007830580 1100015661160 2200031322320