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220002213222100 = 22522834977604929
BaseRepresentation
bin110010000001011101000001…
…110001001101011011010100
31001211222000011111122220012001
4302001131001301031123110
5212314004013041101400
62055523342124405044
764224430635405121
oct6201350161153324
91054860144586161
10220002213222100
1164110461a10961
1220811aa00a6784
13959b172c5359a
143c48241ba1748
151a67b683a4a6a
hexc81741c4d6d4

220002213222100 has 36 divisors (see below), whose sum is σ = 477421649113500. Its totient is φ = 87997779957760.

The previous prime is 220002213222041. The next prime is 220002213222101. The reversal of 220002213222100 is 1222312200022.

It can be written as a sum of positive squares in 6 ways, for example, as 8618005694736 + 211384207527364 = 2935644^2 + 14539058^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220002213222101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35967565 + ... + 41637364.

It is an arithmetic number, because the mean of its divisors is an integer number (13261712475375).

Almost surely, 2220002213222100 is an apocalyptic number.

220002213222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220002213222100 is an abundant number, since it is smaller than the sum of its proper divisors (257419435891400).

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

220002213222100 is a wasteful number, since it uses less digits than its factorization.

220002213222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77633292 (or 77633285 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 220002213222100 its reverse (1222312200022), we get a palindrome (221224525422122).

The spelling of 220002213222100 in words is "two hundred twenty trillion, two billion, two hundred thirteen million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 28349 56698 113396 141745 283490 566980 708725 1417450 2834900 77604929 155209858 310419716 388024645 776049290 1552098580 1940123225 3880246450 7760492900 2200022132221 4400044264442 8800088528884 11000110661105 22000221322210 44000442644420 55000553305525 110001106611050 220002213222100