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220011020220 = 2235191319146317
BaseRepresentation
bin1100110011100110101…
…1011011111110111100
3210000212221112211122110
43030321223123332330
512101040310121340
6245023251414020
721616035546555
oct3147153337674
9700787484573
10220011020220
1185340537942
12367812b4310
1317993084b44
14a911a3532c
155aca16a680
hex3339adbfbc

220011020220 has 96 divisors (see below), whose sum is σ = 648949593600. Its totient is φ = 55539212544.

The previous prime is 220011020219. The next prime is 220011020279. The reversal of 220011020220 is 22020110022.

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 = 220011020196 and 220011020205.

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, 1430502 + ... + 1576818.

It is an arithmetic number, because the mean of its divisors is an integer number (6759891600).

Almost surely, 2220011020220 is an apocalyptic number.

220011020220 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 220011020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324474796800).

220011020220 is an abundant number, since it is smaller than the sum of its proper divisors (428938573380).

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

220011020220 is a wasteful number, since it uses less digits than its factorization.

220011020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147667 (or 147665 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220011020220 its reverse (22020110022), we get a palindrome (242031130242).

The spelling of 220011020220 in words is "two hundred twenty billion, eleven million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1319 2638 3957 5276 6595 7914 13190 15828 19785 25061 26380 39570 50122 75183 79140 100244 125305 146317 150366 250610 292634 300732 375915 438951 501220 585268 731585 751830 877902 1463170 1503660 1755804 2194755 2780023 2926340 4389510 5560046 8340069 8779020 11120092 13900115 16680138 27800230 33360276 41700345 55600460 83400690 166801380 192992123 385984246 578976369 771968492 964960615 1157952738 1929921230 2315905476 2894881845 3666850337 3859842460 5789763690 7333700674 11000551011 11579527380 14667401348 18334251685 22001102022 36668503370 44002204044 55002755055 73337006740 110005510110 220011020220