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23226264 = 233473491
BaseRepresentation
bin101100010011…
…0011110011000
31121201000110000
41120212132120
521421220024
62145453000
7401264025
oct130463630
947630400
1023226264
1112124266
127941160
134a72a69
14312854c
15208bcc9
hex1626798

23226264 has 80 divisors (see below), whose sum is σ = 66080520. Its totient is φ = 7620480.

The previous prime is 23226253. The next prime is 23226277. The reversal of 23226264 is 46262232.

23226264 is a `hidden beast` number, since 2 + 32 + 2 + 626 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47059 + ... + 47549.

Almost surely, 223226264 is an apocalyptic number.

23226264 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 23226264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33040260).

23226264 is an abundant number, since it is smaller than the sum of its proper divisors (42854256).

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

23226264 is a wasteful number, since it uses less digits than its factorization.

23226264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 569 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 23226264 is about 4819.3634434435. The cubic root of 23226264 is about 285.3162141203.

Adding to 23226264 its reverse (46262232), we get a palindrome (69488496).

The spelling of 23226264 in words is "twenty-three million, two hundred twenty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 81 108 146 162 216 219 292 324 438 491 584 648 657 876 982 1314 1473 1752 1964 1971 2628 2946 3928 3942 4419 5256 5892 5913 7884 8838 11784 11826 13257 15768 17676 23652 26514 35352 35843 39771 47304 53028 71686 79542 106056 107529 143372 159084 215058 286744 318168 322587 430116 645174 860232 967761 1290348 1935522 2580696 2903283 3871044 5806566 7742088 11613132 23226264