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2199310464 = 27313440567
BaseRepresentation
bin1000001100010110…
…1101000010000000
312200021101112210010
42003011231002000
514001010413324
61002122504520
7105333554601
oct20305550200
95607345703
102199310464
11a294a955a
12514665140
1329084c850
1416c13bda8
15cd132829
hex8316d080

2199310464 has 64 divisors (see below), whose sum is σ = 6291311040. Its totient is φ = 676709376.

The previous prime is 2199310387. The next prime is 2199310481. The reversal of 2199310464 is 4640139912.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215292 + ... + 225275.

It is an arithmetic number, because the mean of its divisors is an integer number (98301735).

Almost surely, 22199310464 is an apocalyptic number.

2199310464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2199310464 is an abundant number, since it is smaller than the sum of its proper divisors (4092000576).

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

2199310464 is a wasteful number, since it uses less digits than its factorization.

2199310464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440597 (or 440585 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 2199310464 is about 46896.8065437296. The cubic root of 2199310464 is about 1300.4555531644.

The spelling of 2199310464 in words is "two billion, one hundred ninety-nine million, three hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 440567 881134 1321701 1762268 2643402 3524536 5286804 5727371 7049072 10573608 11454742 14098144 17182113 21147216 22909484 28196288 34364226 42294432 45818968 56392576 68728452 84588864 91637936 137456904 169177728 183275872 274913808 366551744 549827616 733103488 1099655232 2199310464