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21312252 = 223213231113
BaseRepresentation
bin101000101001…
…1001011111100
31111002202220200
41101103023330
520423443002
62040443500
7346102563
oct121231374
944082820
1021312252
1111037235
127179590
134552800
142b8abda
151d0eb1c
hex14532fc

21312252 has 108 divisors (see below), whose sum is σ = 60750144. Its totient is φ = 6289920.

The previous prime is 21312233. The next prime is 21312257. The reversal of 21312252 is 25221312.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 (21312257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 188548 + ... + 188660.

Almost surely, 221312252 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 21312252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30375072).

21312252 is an abundant number, since it is smaller than the sum of its proper divisors (39437892).

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

21312252 is a wasteful number, since it uses less digits than its factorization.

21312252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 21312252 is about 4616.5194681708. The cubic root of 21312252 is about 277.2531235055.

Adding to 21312252 its reverse (25221312), we get a palindrome (46533564).

The spelling of 21312252 in words is "twenty-one million, three hundred twelve thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 113 117 124 156 169 186 226 234 279 338 339 372 403 452 468 507 558 676 678 806 1014 1017 1116 1209 1356 1469 1521 1612 2028 2034 2418 2938 3042 3503 3627 4068 4407 4836 5239 5876 6084 7006 7254 8814 10478 10509 13221 14012 14508 15717 17628 19097 20956 21018 26442 31434 31527 38194 42036 45539 47151 52884 57291 62868 63054 76388 91078 94302 114582 126108 136617 171873 182156 188604 229164 273234 343746 409851 546468 592007 687492 819702 1184014 1639404 1776021 2368028 3552042 5328063 7104084 10656126 21312252