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22901374224 = 2432126112
BaseRepresentation
bin10101010101000001…
…110011110100010000
32012010000222100110100
4111111001303310100
5333400222433344
614304251532400
71440342316611
oct252501636420
965100870410
1022901374224
119792257463
12453175a100
13220c80a011
141173777c08
158e082c569
hex555073d10

22901374224 has 45 divisors (see below), whose sum is σ = 64097122999. Its totient is φ = 7633186080.

The previous prime is 22901374219. The next prime is 22901374231. The reversal of 22901374224 is 42247310922.

It is a happy number.

The square root of 22901374224 is 151332.

It is a perfect power (a square), and thus also a powerful number.

22901374224 is a `hidden beast` number, since 229 + 0 + 1 + 3 + 7 + 422 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1809679 + ... + 1822289.

Almost surely, 222901374224 is an apocalyptic number.

22901374224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

22901374224 is the 151332-nd square number.

It is an amenable number.

22901374224 is an abundant number, since it is smaller than the sum of its proper divisors (41195748775).

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

22901374224 is an frugal number, since it uses more digits than its factorization.

22901374224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25236 (or 12616 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 22901374224 by its sum of digits (36), we get a square (824449472064 = 9079922).

22901374224 divided by its sum of digits (36) gives a square (636149284 = 252222).

The spelling of 22901374224 in words is "twenty-two billion, nine hundred one million, three hundred seventy-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 12611 25222 37833 50444 75666 100888 113499 151332 201776 226998 302664 453996 605328 907992 1815984 159037321 318074642 477111963 636149284 954223926 1272298568 1431335889 1908447852 2544597136 2862671778 3816895704 5725343556 7633791408 11450687112 22901374224