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22402399968 = 25321310755921
BaseRepresentation
bin10100110111010010…
…010111111011100000
32010211021001211110100
4110313102113323200
5331340003244333
614142545102400
71422103154304
oct246722277340
963737054410
1022402399968
119556630743
124412627a00
132160323a90
1411273abd04
158b1b18213
hex537497ee0

22402399968 has 144 divisors (see below), whose sum is σ = 69249778416. Its totient is φ = 6828503040.

The previous prime is 22402399933. The next prime is 22402399973. The reversal of 22402399968 is 86999320422.

22402399968 is a `hidden beast` number, since 2 + 240 + 2 + 399 + 9 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372648 + ... + 428568.

It is an arithmetic number, because the mean of its divisors is an integer number (480901239).

Almost surely, 222402399968 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 22402399968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34624889208).

22402399968 is an abundant number, since it is smaller than the sum of its proper divisors (46847378448).

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

22402399968 is a wasteful number, since it uses less digits than its factorization.

22402399968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56057 (or 56046 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 22402399968 in words is "twenty-two billion, four hundred two million, three hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 107 117 144 156 208 214 234 288 312 321 416 428 468 624 642 856 936 963 1248 1284 1391 1712 1872 1926 2568 2782 3424 3744 3852 4173 5136 5564 7704 8346 10272 11128 12519 15408 16692 22256 25038 30816 33384 44512 50076 55921 66768 100152 111842 133536 167763 200304 223684 335526 400608 447368 503289 671052 726973 894736 1006578 1342104 1453946 1789472 2013156 2180919 2684208 2907892 4026312 4361838 5368416 5815784 5983547 6542757 8052624 8723676 11631568 11967094 13085514 16105248 17447352 17950641 23263136 23934188 26171028 34894704 35901282 47868376 52342056 53851923 69789408 71802564 77786111 95736752 104684112 107703846 143605128 155572222 191473504 209368224 215407692 233358333 287210256 311144444 430815384 466716666 574420512 622288888 700074999 861630768 933433332 1244577776 1400149998 1723261536 1866866664 2489155552 2800299996 3733733328 5600599992 7467466656 11201199984 22402399968