Search a number
-
+
22634704160 = 2552915233203
BaseRepresentation
bin10101000101001000…
…100010110100100000
32011102110012002220022
4111011020202310200
5332323441013120
614222004133012
71430623545065
oct250510426440
964373162808
1022634704160
119665778282
124478397168
1321994aba93
14114a19cc6c
158c7204025
hex545222d20

22634704160 has 96 divisors (see below), whose sum is σ = 55372040640. Its totient is φ = 8733211648.

The previous prime is 22634704121. The next prime is 22634704177. The reversal of 22634704160 is 6140743622.

It is a self number, because there is not a number n which added to its sum of digits gives 22634704160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7065119 + ... + 7068321.

It is an arithmetic number, because the mean of its divisors is an integer number (576792090).

Almost surely, 222634704160 is an apocalyptic number.

22634704160 is a gapful number since it is divisible by the number (20) 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 22634704160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27686020320).

22634704160 is an abundant number, since it is smaller than the sum of its proper divisors (32737336480).

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

22634704160 is a wasteful number, since it uses less digits than its factorization.

22634704160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4770 (or 4762 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 22634704160 in words is "twenty-two billion, six hundred thirty-four million, seven hundred four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 1523 2320 3046 3203 4640 6092 6406 7615 12184 12812 15230 16015 24368 25624 30460 32030 44167 48736 51248 60920 64060 88334 92887 102496 121840 128120 176668 185774 220835 243680 256240 353336 371548 441670 464435 512480 706672 743096 883340 928870 1413344 1486192 1766680 1857740 2972384 3533360 3715480 4878169 7066720 7430960 9756338 14861920 19512676 24390845 39025352 48781690 78050704 97563380 141466901 156101408 195126760 282933802 390253520 565867604 707334505 780507040 1131735208 1414669010 2263470416 2829338020 4526940832 5658676040 11317352080 22634704160