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22432232420312 = 231113137268753267
BaseRepresentation
bin1010001100110111010010…
…01111101011001111011000
32221102111111211212022221112
411012123221033223033120
510420012202444422222
6115413120355555452
74503450426334601
oct506335117531730
987374454768845
1022432232420312
117169502437710
1226236252bbb88
13c69472bc16a0
14577a239d4da8
1528d7a9358be2
hex1466e93eb3d8

22432232420312 has 128 divisors (see below), whose sum is σ = 49793801379840. Its totient is φ = 9339771233280.

The previous prime is 22432232420309. The next prime is 22432232420321. The reversal of 22432232420312 is 21302423223422.

It is a congruent 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, 421101503 + ... + 421154769.

It is an arithmetic number, because the mean of its divisors is an integer number (389014073280).

Almost surely, 222432232420312 is an apocalyptic number.

22432232420312 is a gapful number since it is divisible by the number (22) 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 22432232420312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24896900689920).

22432232420312 is an abundant number, since it is smaller than the sum of its proper divisors (27361568959528).

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

22432232420312 is a wasteful number, since it uses less digits than its factorization.

22432232420312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56121 (or 56117 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 22432232420312 its reverse (21302423223422), we get a palindrome (43734655643734).

The spelling of 22432232420312 in words is "twenty-two trillion, four hundred thirty-two billion, two hundred thirty-two million, four hundred twenty thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 137 143 274 286 548 572 1096 1144 1507 1781 2687 3014 3562 5374 6028 7124 10748 12056 14248 19591 21496 29557 34931 39182 53267 59114 69862 78364 106534 118228 139724 156728 213068 236456 279448 368119 384241 426136 585937 692471 736238 768482 1171874 1384942 1472476 1536964 2343748 2769884 2944952 3073928 4049309 4687496 4785547 5539768 7297579 7617181 8098618 9571094 14595158 15234362 16197236 19142188 29190316 30468724 32394472 38284376 52641017 58380632 60937448 80273369 94868527 105282034 143128429 160546738 189737054 210564068 286256858 321093476 379474108 421128136 572513716 642186952 758948216 1043553797 1145027432 1574412719 1860669577 2087107594 3148825438 3721339154 4174215188 6297650876 7442678308 8348430376 12595301752 14885356616 19608594773 20467365347 39217189546 40934730694 78434379092 81869461388 156868758184 163738922776 215694542503 254911732049 431389085006 509823464098 862778170012 1019646928196 1725556340024 2039293856392 2804029052539 5608058105078 11216116210156 22432232420312