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2293263960 = 23351317432011
BaseRepresentation
bin1000100010110000…
…0110111001011000
312220211011212202020
42020230012321120
514144033421320
61015320334440
7110554264521
oct21054067130
95824155666
102293263960
11a77540179
12540014420
132a7157130
1417a7d7848
15d64e0940
hex88b06e58

2293263960 has 256 divisors, whose sum is σ = 8031260160. Its totient is φ = 518676480.

The previous prime is 2293263941. The next prime is 2293263983. The reversal of 2293263960 is 693623922.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1139355 + ... + 1141365.

It is an arithmetic number, because the mean of its divisors is an integer number (31372110).

Almost surely, 22293263960 is an apocalyptic number.

2293263960 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 2293263960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015630080).

2293263960 is an abundant number, since it is smaller than the sum of its proper divisors (5737996200).

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

2293263960 is a wasteful number, since it uses less digits than its factorization.

2293263960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The square root of 2293263960 is about 47888.0356665420. The cubic root of 2293263960 is about 1318.7162220109.

The spelling of 2293263960 in words is "two billion, two hundred ninety-three million, two hundred sixty-three thousand, nine hundred sixty".