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23146002 = 23211292139
BaseRepresentation
bin101100001001…
…0111000010010
31121112221100100
41120102320102
521411133002
62144033230
7400511025
oct130227022
947487310
1023146002
1112079a30
127902816
134a45379
1431071bc
15207311c
hex1612e12

23146002 has 72 divisors (see below), whose sum is σ = 57067920. Its totient is φ = 6723360.

The previous prime is 23145989. The next prime is 23146007. The reversal of 23146002 is 20064132.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (23146007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 166449 + ... + 166587.

It is an arithmetic number, because the mean of its divisors is an integer number (792610).

Almost surely, 223146002 is an apocalyptic number.

23146002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23146002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28533960).

23146002 is an abundant number, since it is smaller than the sum of its proper divisors (33921918).

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

23146002 is a wasteful number, since it uses less digits than its factorization.

23146002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 184 counting only the distinct ones).

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

The square root of 23146002 is about 4811.0292038191. The cubic root of 23146002 is about 284.9871831725.

The spelling of 23146002 in words is "twenty-three million, one hundred forty-six thousand, two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 139 174 198 261 278 319 417 522 638 834 841 957 1251 1529 1682 1914 2502 2523 2871 3058 4031 4587 5046 5742 7569 8062 9174 9251 12093 13761 15138 18502 24186 27522 27753 36279 44341 55506 72558 83259 88682 116899 133023 166518 233798 266046 350697 399069 701394 798138 1052091 1285889 2104182 2571778 3857667 7715334 11573001 23146002