Search a number
-
+
22300616352 = 253741809401
BaseRepresentation
bin10100110001001110…
…000110011010100000
32010120011112200120210
4110301032012122200
5331132424210402
614124511334120
71416426053130
oct246116063240
963504480523
1022300616352
119504131153
1243a4521340
1321452074a1
141117a74ac0
158a7c1006c
hex5313866a0

22300616352 has 96 divisors (see below), whose sum is σ = 68533686144. Its totient is φ = 6216192000.

The previous prime is 22300616341. The next prime is 22300616363. The reversal of 22300616352 is 25361600322.

It is an interprime number because it is at equal distance from previous prime (22300616341) and next prime (22300616363).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377149 + ... + 432252.

It is an arithmetic number, because the mean of its divisors is an integer number (713892564).

Almost surely, 222300616352 is an apocalyptic number.

It is an amenable number.

22300616352 is an abundant number, since it is smaller than the sum of its proper divisors (46233069792).

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

22300616352 is a wasteful number, since it uses less digits than its factorization.

22300616352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809462 (or 809454 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 22300616352 in words is "twenty-two billion, three hundred million, six hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 861 984 1148 1312 1722 1968 2296 3444 3936 4592 6888 9184 13776 27552 809401 1618802 2428203 3237604 4856406 5665807 6475208 9712812 11331614 12950416 16997421 19425624 22663228 25900832 33185441 33994842 38851248 45326456 66370882 67989684 77702496 90652912 99556323 132741764 135979368 181305824 199112646 232298087 265483528 271958736 398225292 464596174 530967056 543917472 696894261 796450584 929192348 1061934112 1393788522 1592901168 1858384696 2787577044 3185802336 3716769392 5575154088 7433538784 11150308176 22300616352