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2201590116 = 22321119319439
BaseRepresentation
bin1000001100111001…
…1001100101100100
312200102200100212200
42003032121211210
514002101340431
61002243414500
7105362131035
oct20316314544
95612610780
102201590116
11a2a816270
12515384430
1329116a35b
1416c572a8c
15cd432ee6
hex83399964

2201590116 has 144 divisors (see below), whose sum is σ = 6597427200. Its totient is φ = 611582400.

The previous prime is 2201590109. The next prime is 2201590159. The reversal of 2201590116 is 6110951022.

It is a self number, because there is not a number n which added to its sum of digits gives 2201590116.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228525 + ... + 237963.

Almost surely, 22201590116 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 2201590116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298713600).

2201590116 is an abundant number, since it is smaller than the sum of its proper divisors (4395837084).

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

2201590116 is a wasteful number, since it uses less digits than its factorization.

2201590116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9510 (or 9505 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 2201590116 is about 46921.1052299496. The cubic root of 2201590116 is about 1300.9047185500.

The spelling of 2201590116 in words is "two billion, two hundred one million, five hundred ninety thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 31 33 36 38 44 57 62 66 76 93 99 114 124 132 171 186 198 209 228 279 341 342 372 396 418 558 589 627 682 684 836 1023 1116 1178 1254 1364 1767 1881 2046 2356 2508 3069 3534 3762 4092 5301 6138 6479 7068 7524 9439 10602 12276 12958 18878 19437 21204 25916 28317 37756 38874 56634 58311 77748 84951 103829 113268 116622 169902 179341 207658 233244 292609 311487 339804 358682 415316 538023 585218 622974 717364 877827 934461 1076046 1170436 1245948 1614069 1755654 1868922 1972751 2152092 2633481 3218699 3228138 3511308 3737844 3945502 5266962 5559571 5918253 6437398 6456276 7891004 9656097 10533924 11119142 11836506 12874796 16678713 17754759 19312194 22238284 23673012 28968291 33357426 35509518 38624388 50036139 57936582 61155281 66714852 71019036 100072278 115873164 122310562 183465843 200144556 244621124 366931686 550397529 733863372 1100795058 2201590116