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22168701400 = 2352313575597
BaseRepresentation
bin10100101001010110…
…111000100111011000
32010012222022201021211
4110221112320213120
5330400141421100
614103440112504
71413234565336
oct245126704730
963188281254
1022168701400
11944672152a
124368305734
132123a9b1c1
141104336b56
1589b3541ba
hex5295b89d8

22168701400 has 48 divisors (see below), whose sum is σ = 53204898240. Its totient is φ = 8581430400.

The previous prime is 22168701397. The next prime is 22168701407. The reversal of 22168701400 is 410786122.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22168701407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1781599 + ... + 1793998.

It is an arithmetic number, because the mean of its divisors is an integer number (1108435380).

Almost surely, 222168701400 is an apocalyptic number.

22168701400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22168701400 is an abundant number, since it is smaller than the sum of its proper divisors (31036196840).

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

22168701400 is a wasteful number, since it uses less digits than its factorization.

22168701400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575644 (or 3575635 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The spelling of 22168701400 in words is "twenty-two billion, one hundred sixty-eight million, seven hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 3100 6200 3575597 7151194 14302388 17877985 28604776 35755970 71511940 89389925 110843507 143023880 178779850 221687014 357559700 443374028 554217535 715119400 886748056 1108435070 2216870140 2771087675 4433740280 5542175350 11084350700 22168701400