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2290540392 = 2332729315511
BaseRepresentation
bin1000100010000110…
…1101111101101000
312220122001111201100
42020201231331220
514142334243032
61015142121400
7110522162220
oct21041557550
95818044640
102290540392
11a75a4a998
1253b120260
132a671255a
1417a2c9080
15d615397c
hex8886df68

2290540392 has 96 divisors (see below), whose sum is σ = 7114423680. Its totient is φ = 652164480.

The previous prime is 2290540387. The next prime is 2290540393. The reversal of 2290540392 is 2930450922.

2290540392 is a `hidden beast` number, since 2 + 29 + 0 + 540 + 3 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2290540393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139917 + ... + 155427.

It is an arithmetic number, because the mean of its divisors is an integer number (74108580).

Almost surely, 22290540392 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 2290540392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557211840).

2290540392 is an abundant number, since it is smaller than the sum of its proper divisors (4823883288).

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

2290540392 is a wasteful number, since it uses less digits than its factorization.

2290540392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15823 (or 15816 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2290540392 is about 47859.5903868807. The cubic root of 2290540392 is about 1318.1939625951.

The spelling of 2290540392 in words is "two billion, two hundred ninety million, five hundred forty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 293 504 586 879 1172 1758 2051 2344 2637 3516 4102 5274 6153 7032 8204 10548 12306 15511 16408 18459 21096 24612 31022 36918 46533 49224 62044 73836 93066 108577 124088 139599 147672 186132 217154 279198 325731 372264 434308 558396 651462 868616 977193 1116792 1302924 1954386 2605848 3908772 4544723 7817544 9089446 13634169 18178892 27268338 31813061 36357784 40902507 54536676 63626122 81805014 95439183 109073352 127252244 163610028 190878366 254504488 286317549 327220056 381756732 572635098 763513464 1145270196 2290540392