Search a number
-
+
23641051230 = 2345475631103
BaseRepresentation
bin10110000001000111…
…011101000001011110
32021000120210211120000
4112001013131001132
5341404102114410
614505513435130
71464563422416
oct260107350136
967016724500
1023641051230
11a031836775
1246b940baa6
1322c9b2bc14
141203abd646
1593573adc0
hex5811dd05e

23641051230 has 160 divisors (see below), whose sum is σ = 65094948864. Its totient is φ = 6153603264.

The previous prime is 23641051219. The next prime is 23641051243. The reversal of 23641051230 is 3215014632.

23641051230 is a `hidden beast` number, since 2 + 3 + 641 + 0 + 5 + 12 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23641051194 and 23641051203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21432859 + ... + 21433961.

Almost surely, 223641051230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23641051230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32547474432).

23641051230 is an abundant number, since it is smaller than the sum of its proper divisors (41453897634).

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

23641051230 is a wasteful number, since it uses less digits than its factorization.

23641051230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 23641051230 its reverse (3215014632), we get a palindrome (26856065862).

The spelling of 23641051230 in words is "twenty-three billion, six hundred forty-one million, fifty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 81 90 94 135 141 162 235 270 282 405 423 470 563 705 810 846 1103 1126 1269 1410 1689 2115 2206 2538 2815 3309 3378 3807 4230 5067 5515 5630 6345 6618 7614 8445 9927 10134 11030 12690 15201 16545 16890 19035 19854 25335 26461 29781 30402 33090 38070 45603 49635 50670 51841 52922 59562 76005 79383 89343 91206 99270 103682 132305 148905 152010 155523 158766 178686 228015 238149 259205 264610 297810 311046 396915 446715 456030 466569 476298 518410 620989 714447 777615 793830 893430 933138 1190745 1241978 1399707 1428894 1555230 1862967 2143341 2332845 2381490 2799414 3104945 3572235 3725934 4199121 4286682 4665690 5588901 6209890 6998535 7144470 8398242 9314835 10716705 11177802 13997070 16766703 18629670 20995605 21433410 27944505 29186483 33533406 41991210 50300109 55889010 58372966 83833515 87559449 100600218 145932415 167667030 175118898 251500545 262678347 291864830 437797245 503001090 525356694 788035041 875594490 1313391735 1576070082 2364105123 2626783470 3940175205 4728210246 7880350410 11820525615 23641051230