Search a number
-
+
22078137960 = 23325190132261
BaseRepresentation
bin10100100011111101…
…011010011001101000
32002222122220121121100
4110203331122121220
5330204000403320
614050443041400
71411055035104
oct244375323150
962878817540
1022078137960
1193aa59590a
124341b10260
13210b0ac978
1410d62c0904
15893415790
hex523f5a668

22078137960 has 96 divisors (see below), whose sum is σ = 71793919080. Its totient is φ = 5884224000.

The previous prime is 22078137953. The next prime is 22078138001. The reversal of 22078137960 is 6973187022.

It can be written as a sum of positive squares in 4 ways, for example, as 7503370884 + 14574767076 = 86622^2 + 120726^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668230 + ... + 700490.

Almost surely, 222078137960 is an apocalyptic number.

22078137960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22078137960 is an abundant number, since it is smaller than the sum of its proper divisors (49715781120).

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

22078137960 is a wasteful number, since it uses less digits than its factorization.

22078137960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34179 (or 34172 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 22078137960 in words is "twenty-two billion, seventy-eight million, one hundred thirty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1901 3802 5703 7604 9505 11406 15208 17109 19010 22812 28515 32261 34218 38020 45624 57030 64522 68436 76040 85545 96783 114060 129044 136872 161305 171090 193566 228120 258088 290349 322610 342180 387132 483915 580698 645220 684360 774264 967830 1161396 1290440 1451745 1935660 2322792 2903490 3871320 5806980 11613960 61328161 122656322 183984483 245312644 306640805 367968966 490625288 551953449 613281610 735937932 919922415 1103906898 1226563220 1471875864 1839844830 2207813796 2453126440 2759767245 3679689660 4415627592 5519534490 7359379320 11039068980 22078137960