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2272202496 = 2833973389
BaseRepresentation
bin1000011101101111…
…0000111100000000
312212100112211212000
42013123300330000
514123140434441
61013245104000
7110210255034
oct20733607400
95770484760
102272202496
11a66665403
12534b58000
132a2991825
14177ab41c4
15d47302b6
hex876f0f00

2272202496 has 144 divisors (see below), whose sum is σ = 6790576800. Its totient is φ = 749371392.

The previous prime is 2272202489. The next prime is 2272202521. The reversal of 2272202496 is 6942022722.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2272202496.

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, 668770 + ... + 672158.

Almost surely, 22272202496 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 2272202496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395288400).

2272202496 is an abundant number, since it is smaller than the sum of its proper divisors (4518374304).

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

2272202496 is an equidigital number, since it uses as much as digits as its factorization.

2272202496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2272202496 is about 47667.6252397788. The cubic root of 2272202496 is about 1314.6667452974. Note that the first 3 decimals are identical.

The spelling of 2272202496 in words is "two billion, two hundred seventy-two million, two hundred two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 97 108 128 144 192 194 216 256 288 291 384 388 432 576 582 768 776 864 873 1152 1164 1552 1728 1746 2304 2328 2619 3104 3389 3456 3492 4656 5238 6208 6778 6912 6984 9312 10167 10476 12416 13556 13968 18624 20334 20952 24832 27112 27936 30501 37248 40668 41904 54224 55872 61002 74496 81336 83808 91503 108448 111744 122004 162672 167616 183006 216896 223488 244008 325344 328733 335232 366012 433792 488016 650688 657466 670464 732024 867584 976032 986199 1301376 1314932 1464048 1952064 1972398 2602752 2629864 2928096 2958597 3904128 3944796 5259728 5856192 5917194 7808256 7889592 8875791 10519456 11712384 11834388 15779184 17751582 21038912 23424768 23668776 31558368 35503164 42077824 47337552 63116736 71006328 84155648 94675104 126233472 142012656 189350208 252466944 284025312 378700416 568050624 757400832 1136101248 2272202496