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122238230928 = 243114711343591
BaseRepresentation
bin111000111010111110…
…1110110000110010000
3102200111222210112010020
41301311331312012100
54000320441342203
6132053325303440
711555114551002
oct1616575660620
9380458715106
10122238230928
1147928327150
121b835404b80
13b6b0b13278
145cb86d6372
1532a6725153
hex1c75f76190

122238230928 has 160 divisors (see below), whose sum is σ = 354940710912. Its totient is φ = 35932108800.

The previous prime is 122238230921. The next prime is 122238230953. The reversal of 122238230928 is 829032832221.

122238230928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 122238230928.

It is not an unprimeable number, because it can be changed into a prime (122238230921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2782413 + ... + 2826003.

Almost surely, 2122238230928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122238230928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177470355456).

122238230928 is an abundant number, since it is smaller than the sum of its proper divisors (232702479984).

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

122238230928 is a wasteful number, since it uses less digits than its factorization.

122238230928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43773 (or 43767 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 122238230928 in words is "one hundred twenty-two billion, two hundred thirty-eight million, two hundred thirty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 113 132 141 176 188 226 264 282 339 376 452 517 528 564 678 752 904 1034 1128 1243 1356 1551 1808 2068 2256 2486 2712 3102 3729 4136 4972 5311 5424 6204 7458 8272 9944 10622 12408 14916 15933 19888 21244 24816 29832 31866 42488 43591 58421 59664 63732 84976 87182 116842 127464 130773 174364 175263 233684 254928 261546 348728 350526 467368 479501 523092 697456 701052 934736 959002 1046184 1402104 1438503 1918004 2048777 2092368 2804208 2877006 3836008 4097554 4925783 5754012 6146331 7672016 8195108 9851566 11508024 12292662 14777349 16390216 19703132 22536547 23016048 24585324 29554698 32780432 39406264 45073094 49170648 54183613 59109396 67609641 78812528 90146188 98341296 108367226 118218792 135219282 162550839 180292376 216734452 231511801 236437584 270438564 325101678 360584752 433468904 463023602 540877128 650203356 694535403 866937808 926047204 1081754256 1300406712 1389070806 1852094408 2546629811 2600813424 2778141612 3704188816 5093259622 5556283224 7639889433 10186519244 11112566448 15279778866 20373038488 30559557732 40746076976 61119115464 122238230928