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23164002 = 23319107211
BaseRepresentation
bin101100001011…
…1010001100010
31121120212001000
41120113101202
521412222002
62144252430
7400614351
oct130272142
947525030
1023164002
1112091504
127911116
134a50614
14310d998
15207861c
hex1617462

23164002 has 64 divisors (see below), whose sum is σ = 54950400. Its totient is φ = 7212240.

The previous prime is 23163991. The next prime is 23164019. The reversal of 23164002 is 20046132.

It is a happy number.

23164002 is a `hidden beast` number, since 23 + 1 + 640 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109677 + ... + 109887.

It is an arithmetic number, because the mean of its divisors is an integer number (858600).

Almost surely, 223164002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23164002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27475200).

23164002 is an abundant number, since it is smaller than the sum of its proper divisors (31786398).

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

23164002 is a wasteful number, since it uses less digits than its factorization.

23164002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23164002 is about 4812.8995418562. The cubic root of 23164002 is about 285.0610395576.

It can be divided in two parts, 23 and 164002, that added together give a square (164025 = 4052).

The spelling of 23164002 in words is "twenty-three million, one hundred sixty-four thousand, two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 107 114 171 211 214 321 342 422 513 633 642 963 1026 1266 1899 1926 2033 2889 3798 4009 4066 5697 5778 6099 8018 11394 12027 12198 18297 22577 24054 36081 36594 45154 54891 67731 72162 108243 109782 135462 203193 216486 406386 428963 609579 857926 1219158 1286889 2573778 3860667 7721334 11582001 23164002