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2293274880 = 283251315313
BaseRepresentation
bin1000100010110000…
…1001100100000000
312220211012102201200
42020230021210000
514144034244010
61015320501200
7110554341411
oct21054114400
95824172650
102293274880
11a775483a6
1254001a800
132a715c0b0
1417a7db808
15d64e3cc0
hex88b09900

2293274880 has 216 divisors, whose sum is σ = 8545395768. Its totient is φ = 564461568.

The previous prime is 2293274843. The next prime is 2293274881. The reversal of 2293274880 is 884723922.

It can be written as a sum of positive squares in 4 ways, for example, as 152176896 + 2141097984 = 12336^2 + 46272^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2293274881) 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, 142104 + ... + 157416.

Almost surely, 22293274880 is an apocalyptic number.

2293274880 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 2293274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272697884).

2293274880 is an abundant number, since it is smaller than the sum of its proper divisors (6252120888).

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

2293274880 is a wasteful number, since it uses less digits than its factorization.

2293274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15353 (or 15336 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2293274880 is about 47888.1496823588. The cubic root of 2293274880 is about 1318.7183151496.

The spelling of 2293274880 in words is "two billion, two hundred ninety-three million, two hundred seventy-four thousand, eight hundred eighty".