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10224334152 = 2332142004641
BaseRepresentation
bin10011000010110101…
…01111010101001000
3222101112212222201200
421201122233111020
5131414412143102
64410314544200
7511240256244
oct114132572510
928345788650
1010224334152
11437740863a
121b94138060
13c6c314886
146cdc7b424
153ec92251c
hex2616af548

10224334152 has 24 divisors (see below), whose sum is σ = 27690905190. Its totient is φ = 3408111360.

The previous prime is 10224334103. The next prime is 10224334171. The reversal of 10224334152 is 25143342201.

10224334152 is a `hidden beast` number, since 1 + 0 + 2 + 243 + 3 + 415 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9054283716 + 1170050436 = 95154^2 + 34206^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71002249 + ... + 71002392.

Almost surely, 210224334152 is an apocalyptic number.

10224334152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10224334152 is an abundant number, since it is smaller than the sum of its proper divisors (17466571038).

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

10224334152 is a wasteful number, since it uses less digits than its factorization.

10224334152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142004653 (or 142004646 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10224334152 its reverse (25143342201), we get a palindrome (35367676353).

The spelling of 10224334152 in words is "ten billion, two hundred twenty-four million, three hundred thirty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 142004641 284009282 426013923 568018564 852027846 1136037128 1278041769 1704055692 2556083538 3408111384 5112167076 10224334152