Search a number
-
+
23237064 = 2333179601
BaseRepresentation
bin101100010100…
…1000111001000
31121201120021000
41120221013020
521422041224
62150015000
7401340354
oct130510710
947646230
1023237064
1112131394
127947460
134a77956
14312c464
1520900c9
hex16291c8

23237064 has 64 divisors (see below), whose sum is σ = 65016000. Its totient is φ = 7689600.

The previous prime is 23237041. The next prime is 23237069. The reversal of 23237064 is 46073232.

23237064 is a `hidden beast` number, since 232 + 370 + 64 = 666.

It is a super-2 number, since 2×232370642 = 1079922286680192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23237069) 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, 38364 + ... + 38964.

It is an arithmetic number, because the mean of its divisors is an integer number (1015875).

Almost surely, 223237064 is an apocalyptic number.

23237064 is a gapful number since it is divisible by the number (24) 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 23237064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32508000).

23237064 is an abundant number, since it is smaller than the sum of its proper divisors (41778936).

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

23237064 is a wasteful number, since it uses less digits than its factorization.

23237064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 23237064 is about 4820.4837931477. The cubic root of 23237064 is about 285.3604304096.

The spelling of 23237064 in words is "twenty-three million, two hundred thirty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 179 216 358 537 601 716 1074 1202 1432 1611 1803 2148 2404 3222 3606 4296 4808 4833 5409 6444 7212 9666 10818 12888 14424 16227 19332 21636 32454 38664 43272 64908 107579 129816 215158 322737 430316 645474 860632 968211 1290948 1936422 2581896 2904633 3872844 5809266 7745688 11618532 23237064