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22122313320 = 23351937262237
BaseRepresentation
bin10100100110100101…
…111011011001101000
32010002202000221210210
4110212211323121220
5330301303011240
614055101541120
71412132363202
oct244645733150
963082027723
1022122313320
119422518478
1243548747a0
1321172a8b33
1410dc0dd772
1589723e780
hex52697b668

22122313320 has 128 divisors (see below), whose sum is σ = 71748316800. Its totient is φ = 5437725696.

The previous prime is 22122313313. The next prime is 22122313331. The reversal of 22122313320 is 2331322122.

It is a happy number.

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, 46759 + ... + 215478.

It is an arithmetic number, because the mean of its divisors is an integer number (560533725).

Almost surely, 222122313320 is an apocalyptic number.

22122313320 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 22122313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35874158400).

22122313320 is an abundant number, since it is smaller than the sum of its proper divisors (49626003480).

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

22122313320 is a wasteful number, since it uses less digits than its factorization.

22122313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262307 (or 262303 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 22122313320 its reverse (2331322122), we get a palindrome (24453635442).

The spelling of 22122313320 in words is "twenty-two billion, one hundred twenty-two million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 37 38 40 57 60 74 76 95 111 114 120 148 152 185 190 222 228 285 296 370 380 444 456 555 570 703 740 760 888 1110 1140 1406 1480 2109 2220 2280 2812 3515 4218 4440 5624 7030 8436 10545 14060 16872 21090 28120 42180 84360 262237 524474 786711 1048948 1311185 1573422 2097896 2622370 3146844 3933555 4982503 5244740 6293688 7867110 9702769 9965006 10489480 14947509 15734220 19405538 19930012 24912515 29108307 29895018 31468440 38811076 39860024 48513845 49825030 58216614 59790036 74737545 77622152 97027690 99650060 116433228 119580072 145541535 149475090 184352611 194055380 199300120 232866456 291083070 298950180 368705222 388110760 553057833 582166140 597900360 737410444 921763055 1106115666 1164332280 1474820888 1843526110 2212231332 2765289165 3687052220 4424462664 5530578330 7374104440 11061156660 22122313320