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22132343102320 = 24511191323704731
BaseRepresentation
bin1010000100001000101100…
…11100101101101101110000
32220100211110001012112101001
411002010112130231231300
510400104014313233240
6115023242535051344
74443003044234263
oct502042634555560
986324401175331
1022132343102320
117063301768450
122595490b10b54
13c470bcca66b9
145672d5464cda
15285aa675e89a
hex14211672db70

22132343102320 has 80 divisors (see below), whose sum is σ = 59090179236480. Its totient is φ = 7624539244800.

The previous prime is 22132343102257. The next prime is 22132343102323. The reversal of 22132343102320 is 2320134323122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×221323431023202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132343102323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661835646 + ... + 661869085.

It is an arithmetic number, because the mean of its divisors is an integer number (738627240456).

Almost surely, 222132343102320 is an apocalyptic number.

22132343102320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22132343102320 is an abundant number, since it is smaller than the sum of its proper divisors (36957836134160).

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

22132343102320 is a wasteful number, since it uses less digits than its factorization.

22132343102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323704774 (or 1323704768 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 22132343102320 its reverse (2320134323122), we get a palindrome (24452477425442).

The spelling of 22132343102320 in words is "twenty-two trillion, one hundred thirty-two billion, three hundred forty-three million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 8360 16720 1323704731 2647409462 5294818924 6618523655 10589637848 13237047310 14560752041 21179275696 25150389889 26474094620 29121504082 50300779778 52948189240 58243008164 72803760205 100601559556 105896378480 116486016328 125751949445 145607520410 201203119112 232972032656 251503898890 276654288779 291215040820 402406238224 503007797780 553308577558 582430081640 1006015595560 1106617155116 1164860163280 1383271443895 2012031191120 2213234310232 2766542887790 4426468620464 5533085775580 11066171551160 22132343102320