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2200012320 = 253511237879
BaseRepresentation
bin1000001100100001…
…1000011000100000
312200022201012112210
42003020120120200
514001200343240
61002145522120
7105342540042
oct20310303040
95608635483
102200012320
11a29938900
12514943340
13290a3714c
1416c281a92
15cd220780
hex83218620

2200012320 has 144 divisors (see below), whose sum is σ = 7617516480. Its totient is φ = 533322240.

The previous prime is 2200012277. The next prime is 2200012327. The reversal of 2200012320 is 232100022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2200012296 and 2200012305.

It is not an unprimeable number, because it can be changed into a prime (2200012327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39141 + ... + 77019.

It is an arithmetic number, because the mean of its divisors is an integer number (52899420).

Almost surely, 22200012320 is an apocalyptic number.

2200012320 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 2200012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808758240).

2200012320 is an abundant number, since it is smaller than the sum of its proper divisors (5417504160).

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

2200012320 is a wasteful number, since it uses less digits than its factorization.

2200012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37919 (or 37900 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2200012320 is about 46904.2889296917. The cubic root of 2200012320 is about 1300.5938746176.

Adding to 2200012320 its reverse (232100022), we get a palindrome (2432112342).

The spelling of 2200012320 in words is "two billion, two hundred million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4840 5280 5808 7260 9680 11616 14520 19360 29040 37879 58080 75758 113637 151516 189395 227274 303032 378790 416669 454548 568185 606064 757580 833338 909096 1136370 1212128 1250007 1515160 1666676 1818192 2083345 2272740 2500014 3030320 3333352 3636384 4166690 4545480 4583359 5000028 6060640 6250035 6666704 8333380 9090960 9166718 10000056 12500070 13333408 13750077 16666760 18181920 18333436 20000112 22916795 25000140 27500154 33333520 36666872 40000224 45833590 50000280 55000308 66667040 68750385 73333744 91667180 100000560 110000616 137500770 146667488 183334360 200001120 220001232 275001540 366668720 440002464 550003080 733337440 1100006160 2200012320