Search a number
-
+
2297280160 = 25574347701
BaseRepresentation
bin1000100011101101…
…1011011010100000
312221002201220221101
42020323123122200
514201100431120
61015542404144
7110633362540
oct21073333240
95832656841
102297280160
11a7983364a
12541430654
132a7c32196
1417b161320
15d6a3590a
hex88edb6a0

2297280160 has 96 divisors (see below), whose sum is σ = 6347037312. Its totient is φ = 769305600.

The previous prime is 2297280151. The next prime is 2297280229. The reversal of 2297280160 is 610827922.

It is a super-2 number, since 2×22972801602 = 10554992267059251200, which contains 22 as substring.

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, 24310 + ... + 72010.

It is an arithmetic number, because the mean of its divisors is an integer number (66114972).

Almost surely, 22297280160 is an apocalyptic number.

2297280160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2297280160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173518656).

2297280160 is an abundant number, since it is smaller than the sum of its proper divisors (4049757152).

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

2297280160 is a wasteful number, since it uses less digits than its factorization.

2297280160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47766 (or 47758 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 2297280160 is about 47929.9505528641. The cubic root of 2297280160 is about 1319.4855969311.

The spelling of 2297280160 in words is "two billion, two hundred ninety-seven million, two hundred eighty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 70 80 86 112 140 160 172 215 224 280 301 344 430 560 602 688 860 1120 1204 1376 1505 1720 2408 3010 3440 4816 6020 6880 9632 12040 24080 47701 48160 95402 190804 238505 333907 381608 477010 667814 763216 954020 1335628 1526432 1669535 1908040 2051143 2671256 3339070 3816080 4102286 5342512 6678140 7632160 8204572 10255715 10685024 13356280 14358001 16409144 20511430 26712560 28716002 32818288 41022860 53425120 57432004 65636576 71790005 82045720 114864008 143580010 164091440 229728016 287160020 328182880 459456032 574320040 1148640080 2297280160