Search a number
-
+
22521514340 = 22513197957709
BaseRepresentation
bin10100111110011000…
…110000100101100100
32011010120012110122202
4110332120300211210
5332111001424330
614202442114032
71425050466443
oct247630604544
964116173582
1022521514340
119607898076
1244464ab918
13217bbca860
141139136d5a
158bc2e6445
hex53e630964

22521514340 has 96 divisors (see below), whose sum is σ = 54293568000. Its totient is φ = 7778115072.

The previous prime is 22521514339. The next prime is 22521514357. The reversal of 22521514340 is 4341512522.

It is a super-3 number, since 3×225215143403 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361406 + ... + 419114.

It is an arithmetic number, because the mean of its divisors is an integer number (565558000).

Almost surely, 222521514340 is an apocalyptic number.

22521514340 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 22521514340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27146784000).

22521514340 is an abundant number, since it is smaller than the sum of its proper divisors (31772053660).

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

22521514340 is a wasteful number, since it uses less digits than its factorization.

22521514340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57829 (or 57827 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 22521514340 in words is "twenty-two billion, five hundred twenty-one million, five hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 79 95 130 158 190 247 260 316 380 395 494 790 988 1027 1235 1501 1580 2054 2470 3002 4108 4940 5135 6004 7505 10270 15010 19513 20540 30020 39026 57709 78052 97565 115418 195130 230836 288545 390260 577090 750217 1096471 1154180 1500434 2192942 3000868 3751085 4385884 4559011 5482355 7502170 9118022 10964710 14254123 15004340 18236044 21929420 22795055 28508246 45590110 57016492 59267143 71270615 86621209 91180220 118534286 142541230 173242418 237068572 285082460 296335715 346484836 433106045 592671430 866212090 1126075717 1185342860 1732424180 2252151434 4504302868 5630378585 11260757170 22521514340