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22994312352 = 25311137158941
BaseRepresentation
bin10101011010100100…
…010101110010100000
32012100111212002121020
4111122210111302200
5334043020443402
614321411525440
71442551300344
oct253244256240
965314762536
1022994312352
11982a765230
1245588b9880
132225b4a3ab
141181c4b624
158e8a898bc
hex55a915ca0

22994312352 has 96 divisors (see below), whose sum is σ = 66328403904. Its totient is φ = 6917068800.

The previous prime is 22994312347. The next prime is 22994312357. The reversal of 22994312352 is 25321349922.

It is an interprime number because it is at equal distance from previous prime (22994312347) and next prime (22994312357).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×229943123523 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22994312357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65202 + ... + 224142.

It is an arithmetic number, because the mean of its divisors is an integer number (690920874).

Almost surely, 222994312352 is an apocalyptic number.

22994312352 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 22994312352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33164201952).

22994312352 is an abundant number, since it is smaller than the sum of its proper divisors (43334091552).

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

22994312352 is a wasteful number, since it uses less digits than its factorization.

22994312352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159102 (or 159094 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The spelling of 22994312352 in words is "twenty-two billion, nine hundred ninety-four million, three hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 137 176 264 274 352 411 528 548 822 1056 1096 1507 1644 2192 3014 3288 4384 4521 6028 6576 9042 12056 13152 18084 24112 36168 48224 72336 144672 158941 317882 476823 635764 953646 1271528 1748351 1907292 2543056 3496702 3814584 5086112 5245053 6993404 7629168 10490106 13986808 15258336 20980212 21774917 27973616 41960424 43549834 55947232 65324751 83920848 87099668 130649502 167841696 174199336 239524087 261299004 348398672 479048174 522598008 696797344 718572261 958096348 1045196016 1437144522 1916192696 2090392032 2874289044 3832385392 5748578088 7664770784 11497156176 22994312352