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23212142610 = 235432795297
BaseRepresentation
bin10101100111100011…
…010011000000010010
32012220200202000112120
4111213203103000102
5340014302030420
614355152435110
71451134646106
oct254743230022
965820660476
1023212142610
119931716338
1245b9848a96
13225c008337
1411a2b51906
1590cc66d40
hex5678d3012

23212142610 has 96 divisors (see below), whose sum is σ = 57767696640. Its totient is φ = 5968295424.

The previous prime is 23212142609. The next prime is 23212142621. The reversal of 23212142610 is 1624121232.

It is a super-2 number, since 2×232121426102 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4379482 + ... + 4384778.

It is an arithmetic number, because the mean of its divisors is an integer number (601746840).

Almost surely, 223212142610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23212142610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28883848320).

23212142610 is an abundant number, since it is smaller than the sum of its proper divisors (34555554030).

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

23212142610 is a wasteful number, since it uses less digits than its factorization.

23212142610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5472 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 23212142610 its reverse (1624121232), we get a palindrome (24836263842).

The spelling of 23212142610 in words is "twenty-three billion, two hundred twelve million, one hundred forty-two thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 79 86 129 158 215 237 258 395 430 474 645 790 1185 1290 1849 2370 3397 3698 5297 5547 6794 9245 10191 10594 11094 15891 16985 18490 20382 26485 27735 31782 33970 50955 52970 55470 79455 101910 146071 158910 227771 292142 418463 438213 455542 683313 730355 836926 876426 1138855 1255389 1366626 1460710 2092315 2191065 2277710 2510778 3416565 4184630 4382130 6276945 6833130 9794153 12553890 17993909 19588306 29382459 35987818 48970765 53981727 58764918 89969545 97941530 107963454 146912295 179939090 269908635 293824590 539817270 773738087 1547476174 2321214261 3868690435 4642428522 7737380870 11606071305 23212142610