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2193991008 = 253119721419
BaseRepresentation
bin1000001011000101…
…1010010101100000
312122220101021212020
42002301122111200
513443130203013
61001412501440
7105240421146
oct20261322540
95586337766
102193991008
11a264a5a10
1251291a880
1328c709541
1416b555596
15cc931623
hex82c5a560

2193991008 has 96 divisors (see below), whose sum is σ = 6347859840. Its totient is φ = 657960960.

The previous prime is 2193990991. The next prime is 2193991031. The reversal of 2193991008 is 8001993912.

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

It is a congruent number.

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, 91723 + ... + 113141.

It is an arithmetic number, because the mean of its divisors is an integer number (66123540).

Almost surely, 22193991008 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 2193991008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173929920).

2193991008 is an abundant number, since it is smaller than the sum of its proper divisors (4153868832).

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

2193991008 is a wasteful number, since it uses less digits than its factorization.

2193991008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21540 (or 21532 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 2193991008 is about 46840.0577284017. The cubic root of 2193991008 is about 1299.4062393013.

The spelling of 2193991008 in words is "two billion, one hundred ninety-three million, nine hundred ninety-one thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 97 132 176 194 264 291 352 388 528 582 776 1056 1067 1164 1552 2134 2328 3104 3201 4268 4656 6402 8536 9312 12804 17072 21419 25608 34144 42838 51216 64257 85676 102432 128514 171352 235609 257028 342704 471218 514056 685408 706827 942436 1028112 1413654 1884872 2056224 2077643 2827308 3769744 4155286 5654616 6232929 7539488 8310572 11309232 12465858 16621144 22618464 22854073 24931716 33242288 45708146 49863432 66484576 68562219 91416292 99726864 137124438 182832584 199453728 274248876 365665168 548497752 731330336 1096995504 2193991008