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22118230900 = 2252221182309
BaseRepresentation
bin10100100110010110…
…010110101101110100
32010002110100112210001
4110212112112231310
5330244231342100
614054434241044
71412052601123
oct244626265564
963073315701
1022118230900
11942018a277
124353426184
1321164a98bc
1410db759aba
15896bd4d6a
hex526596b74

22118230900 has 18 divisors (see below), whose sum is σ = 47996561270. Its totient is φ = 8847292320.

The previous prime is 22118230873. The next prime is 22118230907. The reversal of 22118230900 is 903281122.

It can be written as a sum of positive squares in 3 ways, for example, as 192321424 + 21925909476 = 13868^2 + 148074^2 .

It is a super-2 number, since 2×221182309002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22118230907) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110591055 + ... + 110591254.

Almost surely, 222118230900 is an apocalyptic number.

22118230900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22118230900 is an abundant number, since it is smaller than the sum of its proper divisors (25878330370).

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

22118230900 is a wasteful number, since it uses less digits than its factorization.

22118230900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221182323 (or 221182316 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 22118230900 in words is "twenty-two billion, one hundred eighteen million, two hundred thirty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 221182309 442364618 884729236 1105911545 2211823090 4423646180 5529557725 11059115450 22118230900