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2201056968 = 2331125732441
BaseRepresentation
bin1000001100110001…
…0111011011001000
312200101200021112110
42003030113123020
514001432310333
61002224142320
7105354450465
oct20314273310
95611607473
102201056968
11a2a491750
125151679a0
13291011796
1416c47466c
15cd37a063
hex833176c8

2201056968 has 64 divisors (see below), whose sum is σ = 6026425920. Its totient is φ = 664371200.

The previous prime is 2201056951. The next prime is 2201056987. The reversal of 2201056968 is 8696501022.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 51628 + ... + 84068.

It is an arithmetic number, because the mean of its divisors is an integer number (94162905).

Almost surely, 22201056968 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 2201056968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013212960).

2201056968 is an abundant number, since it is smaller than the sum of its proper divisors (3825368952).

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

2201056968 is a wasteful number, since it uses less digits than its factorization.

2201056968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32718 (or 32714 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 2201056968 is about 46915.4235619801. The cubic root of 2201056968 is about 1300.7996988890.

The spelling of 2201056968 in words is "two billion, two hundred one million, fifty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 257 264 514 771 1028 1542 2056 2827 3084 5654 6168 8481 11308 16962 22616 32441 33924 64882 67848 97323 129764 194646 259528 356851 389292 713702 778584 1070553 1427404 2141106 2854808 4282212 8337337 8564424 16674674 25012011 33349348 50024022 66698696 91710707 100048044 183421414 200096088 275132121 366842828 550264242 733685656 1100528484 2201056968