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23342220130032 = 24321972693058871
BaseRepresentation
bin1010100111010110010001…
…01111010011011011110000
310001122111100110021122012200
411103223020233103123300
511024414331323130112
6121351133510423200
74626263655261426
oct523531057233360
9101574313248180
1023342220130032
11748a41a807661
12274ba66361b00
131004214953aab
145a9aab661116
152a72b8616cdc
hex153ac8bd36f0

23342220130032 has 120 divisors (see below), whose sum is σ = 65901500739360. Its totient is φ = 7712463521280.

The previous prime is 23342220130003. The next prime is 23342220130037. The reversal of 23342220130032 is 23003102224332.

23342220130032 is a `hidden beast` number, since 2 + 3 + 3 + 422 + 201 + 3 + 0 + 0 + 32 = 666.

It is a super-2 number, since 2×233422201300322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23342220129978 and 23342220130005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23342220130037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6101557 + ... + 9160427.

It is an arithmetic number, because the mean of its divisors is an integer number (549179172828).

Almost surely, 223342220130032 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 23342220130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32950750369680).

23342220130032 is an abundant number, since it is smaller than the sum of its proper divisors (42559280609328).

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

23342220130032 is a wasteful number, since it uses less digits than its factorization.

23342220130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059351 (or 3059342 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 23342220130032 its reverse (23003102224332), we get a palindrome (46345322354364).

The spelling of 23342220130032 in words is "twenty-three trillion, three hundred forty-two billion, two hundred twenty million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 197 269 394 538 591 788 807 1076 1182 1576 1614 1773 2152 2364 2421 3152 3228 3546 4304 4728 4842 6456 7092 9456 9684 12912 14184 19368 28368 38736 52993 105986 158979 211972 317958 423944 476937 635916 847888 953874 1271832 1907748 2543664 3058871 3815496 6117742 7630992 9176613 12235484 18353226 24470968 27529839 36706452 48941936 55059678 73412904 110119356 146825808 220238712 440477424 602597587 822836299 1205195174 1645672598 1807792761 2410390348 2468508897 3291345196 3615585522 4820780696 4937017794 5423378283 6582690392 7231171044 7405526691 9641561392 9874035588 10846756566 13165380784 14462342088 14811053382 19748071176 21693513132 28924684176 29622106764 39496142352 43387026264 59244213528 86774052528 118488427056 162098750903 324197501806 486296252709 648395003612 972592505418 1296790007224 1458888758127 1945185010836 2593580014448 2917777516254 3890370021672 5835555032508 7780740043344 11671110065016 23342220130032