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23033136 = 243731399
BaseRepresentation
bin101011111011…
…1010100110000
31121100012112010
41113313110300
521344030021
62141402520
7366531000
oct127672460
947305463
1023033136
1112002155
127869440
134a05b99
1430b8000
15204e976
hex15f7530

23033136 has 80 divisors (see below), whose sum is σ = 69440000. Its totient is φ = 6576192.

The previous prime is 23033119. The next prime is 23033137. The reversal of 23033136 is 63133032.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (23033137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15765 + ... + 17163.

It is an arithmetic number, because the mean of its divisors is an integer number (868000).

Almost surely, 223033136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23033136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34720000).

23033136 is an abundant number, since it is smaller than the sum of its proper divisors (46406864).

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

23033136 is a wasteful number, since it uses less digits than its factorization.

23033136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 23033136 is about 4799.2849467395. The cubic root of 23033136 is about 284.5232040114.

Adding to 23033136 its reverse (63133032), we get a palindrome (86166168).

The spelling of 23033136 in words is "twenty-three million, thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 1399 2058 2352 2744 2798 4116 4197 5488 5596 8232 8394 9793 11192 16464 16788 19586 22384 29379 33576 39172 58758 67152 68551 78344 117516 137102 156688 205653 235032 274204 411306 470064 479857 548408 822612 959714 1096816 1439571 1645224 1919428 2879142 3290448 3838856 5758284 7677712 11516568 23033136