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23121630 = 232574107
BaseRepresentation
bin101100000110…
…0111011011110
31121111200220200
41120030323132
521404343010
62143324330
7400350000
oct130147336
947450820
1023121630
1112062694
1278b06a6
134a3724c
1430dc370
15206acc0
hex160cede

23121630 has 120 divisors (see below), whose sum is σ = 70786872. Its totient is φ = 5235552.

The previous prime is 23121617. The next prime is 23121643. The reversal of 23121630 is 3612132.

23121630 is a `hidden beast` number, since 2 + 31 + 2 + 1 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (23121617) and next prime (23121643).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 216037 + ... + 216143.

Almost surely, 223121630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23121630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35393436).

23121630 is an abundant number, since it is smaller than the sum of its proper divisors (47665242).

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

23121630 is a wasteful number, since it uses less digits than its factorization.

23121630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 23121630 is about 4808.4956067361. The cubic root of 23121630 is about 284.8871205796.

Adding to 23121630 its reverse (3612132), we get a palindrome (26733762).

The spelling of 23121630 in words is "twenty-three million, one hundred twenty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 107 126 147 210 214 245 294 315 321 343 441 490 535 630 642 686 735 749 882 963 1029 1070 1470 1498 1605 1715 1926 2058 2205 2247 2401 3087 3210 3430 3745 4410 4494 4802 4815 5145 5243 6174 6741 7203 7490 9630 10290 10486 11235 12005 13482 14406 15435 15729 21609 22470 24010 26215 30870 31458 33705 36015 36701 43218 47187 52430 67410 72030 73402 78645 94374 108045 110103 157290 183505 216090 220206 235935 256907 330309 367010 471870 513814 550515 660618 770721 1101030 1284535 1541442 1651545 2312163 2569070 3303090 3853605 4624326 7707210 11560815 23121630