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23032152 = 233211132237
BaseRepresentation
bin101011111011…
…1000101011000
31121100011011200
41113313011120
521344012102
62141354200
7366525063
oct127670530
947304150
1023032152
1112001440
127868960
134a055c0
1430b78da
15204e51c
hex15f7158

23032152 has 96 divisors (see below), whose sum is σ = 73316880. Its totient is φ = 6439680.

The previous prime is 23032151. The next prime is 23032153. The reversal of 23032152 is 25123032.

It is an interprime number because it is at equal distance from previous prime (23032151) and next prime (23032153).

It is a super-2 number, since 2×230321522 = 1060960051502208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23032151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9178 + ... + 11414.

Almost surely, 223032152 is an apocalyptic number.

23032152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23032152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36658440).

23032152 is an abundant number, since it is smaller than the sum of its proper divisors (50284728).

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

23032152 is a wasteful number, since it uses less digits than its factorization.

23032152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23032152 is about 4799.1824303729. The cubic root of 23032152 is about 284.5191522426.

Adding to 23032152 its reverse (25123032), we get a palindrome (48155184).

The spelling of 23032152 in words is "twenty-three million, thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2237 2574 3432 4474 5148 6711 8948 10296 13422 17896 20133 24607 26844 29081 40266 49214 53688 58162 73821 80532 87243 98428 116324 147642 161064 174486 196856 221463 232648 261729 295284 319891 348972 442926 523458 590568 639782 697944 885852 959673 1046916 1279564 1771704 1919346 2093832 2559128 2879019 3838692 5758038 7677384 11516076 23032152