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22423344321312 = 25321110170079959
BaseRepresentation
bin1010001100100110101110…
…11110010001001100100000
32221101122120102100010020200
411012103113132101030200
510414341002121240222
6115405050413105200
74503014242623534
oct506232736211440
987348512303220
1022423344321312
117165761326350
122621964788200
13c68687690acc
1457741d3cbbc4
1528d438dd2eac
hex1464d7791320

22423344321312 has 144 divisors (see below), whose sum is σ = 70252076381760. Its totient is φ = 6727675968000.

The previous prime is 22423344321277. The next prime is 22423344321337. The reversal of 22423344321312 is 21312344332422.

22423344321312 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 334 + 4 + 3 + 2 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 34720012 + ... + 35359947.

It is an arithmetic number, because the mean of its divisors is an integer number (487861641540).

Almost surely, 222423344321312 is an apocalyptic number.

22423344321312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22423344321312 is an abundant number, since it is smaller than the sum of its proper divisors (47828732060448).

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

22423344321312 is a wasteful number, since it uses less digits than its factorization.

22423344321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70080087 (or 70080076 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 22423344321312 its reverse (21312344332422), we get a palindrome (43735688653734).

The spelling of 22423344321312 in words is "twenty-two trillion, four hundred twenty-three billion, three hundred forty-four million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 101 132 144 176 198 202 264 288 303 352 396 404 528 606 792 808 909 1056 1111 1212 1584 1616 1818 2222 2424 3168 3232 3333 3636 4444 4848 6666 7272 8888 9696 9999 13332 14544 17776 19998 26664 29088 35552 39996 53328 79992 106656 159984 319968 70079959 140159918 210239877 280319836 420479754 560639672 630719631 770879549 840959508 1121279344 1261439262 1541759098 1681919016 2242558688 2312638647 2522878524 3083518196 3363838032 4625277294 5045757048 6167036392 6727676064 6937915941 7078075859 9250554588 10091514096 12334072784 13875831882 14156151718 18501109176 20183028192 21234227577 24668145568 27751663764 28312303436 37002218352 42468455154 55503327528 56624606872 63702682731 74004436704 77858834449 84936910308 111006655056 113249213744 127405365462 155717668898 169873820616 222013310112 226498427488 233576503347 254810730924 311435337796 339747641232 467153006694 509621461848 622870675592 679495282464 700729510041 934306013388 1019242923696 1245741351184 1401459020082 1868612026776 2038485847392 2491482702368 2802918040164 3737224053552 5605836080328 7474448107104 11211672160656 22423344321312