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2293085376 = 26341931751
BaseRepresentation
bin1000100010101101…
…1011010011000000
312220210211210210000
42020223123103000
514144012213001
61015312440000
7110552622051
oct21053332300
95823753700
102293085376
11a77428a8a
1253bb49000
132a70c3a6a
1417a78c728
15d64a7a86
hex88adb4c0

2293085376 has 280 divisors, whose sum is σ = 7395829760. Its totient is φ = 699840000.

The previous prime is 2293085371. The next prime is 2293085387. The reversal of 2293085376 is 6735803922.

2293085376 is a `hidden beast` number, since 22 + 93 + 0 + 8 + 537 + 6 = 666.

It is a super-2 number, since 2×22930853762 = 10516481083250122752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2293085371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3053001 + ... + 3053751.

Almost surely, 22293085376 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 2293085376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697914880).

2293085376 is an abundant number, since it is smaller than the sum of its proper divisors (5102744384).

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

2293085376 is a wasteful number, since it uses less digits than its factorization.

2293085376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2293085376 is about 47886.1710308937. The cubic root of 2293085376 is about 1318.6819902005.

The spelling of 2293085376 in words is "two billion, two hundred ninety-three million, eighty-five thousand, three hundred seventy-six".