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22185447368 = 237275232
BaseRepresentation
bin10100101010010110…
…110000111111001000
32010021010211111102212
4110222112300333020
5330413433303433
614105235044252
71413530122400
oct245226607710
963233744385
1022185447368
119455119a77
124371a40688
1321273b2466
141106655800
1589ca60d48
hex52a5b0fc8

22185447368 has 36 divisors (see below), whose sum is σ = 48395610315. Its totient is φ = 9506785008.

The previous prime is 22185447343. The next prime is 22185447371. The reversal of 22185447368 is 86374458122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 11092723684 + 11092723684 = 105322^2 + 105322^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105322.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 2945255 + ... + 2952777.

Almost surely, 222185447368 is an apocalyptic number.

22185447368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22185447368 is an abundant number, since it is smaller than the sum of its proper divisors (26210162947).

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

22185447368 is an frugal number, since it uses more digits than its factorization.

22185447368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15066 (or 7532 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 50.

Multiplying 22185447368 by its sum of digits (50), we get a square (1109272368400 = 10532202).

The spelling of 22185447368 in words is "twenty-two billion, one hundred eighty-five million, four hundred forty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 7523 15046 30092 52661 60184 105322 210644 368627 421288 737254 1474508 2949016 56595529 113191058 226382116 396168703 452764232 792337406 1584674812 2773180921 3169349624 5546361842 11092723684 22185447368