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22200021222100 = 22521713058836013
BaseRepresentation
bin1010000110000110110000…
…11000010000001011010100
32220121022010122112020100221
411003003120120100023110
510402211120413101400
6115114314324044124
74450620135612661
oct503033030201324
986538118466327
1022200021222100
117089a81254547
1225a661a233644
13c505b7387a17
1456a6b5954a68
152877180cac1a
hex1430d86102d4

22200021222100 has 36 divisors (see below), whose sum is σ = 51007813470684. Its totient is φ = 8357655047680.

The previous prime is 22200021222073. The next prime is 22200021222103. The reversal of 22200021222100 is 122212000222.

It can be written as a sum of positive squares in 6 ways, for example, as 1890812004624 + 20309209217476 = 1375068^2 + 4506574^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22200021222103) 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, 6529416307 + ... + 6529419706.

It is an arithmetic number, because the mean of its divisors is an integer number (1416883707519).

Almost surely, 222200021222100 is an apocalyptic number.

22200021222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200021222100 is an abundant number, since it is smaller than the sum of its proper divisors (28807792248584).

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

22200021222100 is a wasteful number, since it uses less digits than its factorization.

22200021222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13058836044 (or 13058836037 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22200021222100 its reverse (122212000222), we get a palindrome (22322233222322).

The spelling of 22200021222100 in words is "twenty-two trillion, two hundred billion, twenty-one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 13058836013 26117672026 52235344052 65294180065 130588360130 222000212221 261176720260 326470900325 444000424442 652941800650 888000848884 1110001061105 1305883601300 2220002122210 4440004244420 5550005305525 11100010611050 22200021222100