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2274631632 = 24367132143
BaseRepresentation
bin1000011110010100…
…0001111111010000
312212112010021000000
42013211001333100
514124301203012
61013413130000
7110240023050
oct20745017720
95775107000
102274631632
11a67a74459
12535929900
132a33323a0
14178147560
15d4a5eddc
hex87941fd0

2274631632 has 280 divisors, whose sum is σ = 8136257024. Its totient is φ = 599622912.

The previous prime is 2274631627. The next prime is 2274631633. The reversal of 2274631632 is 2361364722.

It is a super-2 number, since 2×22746316322 = 10347898122589966848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2274631633) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1060353 + ... + 1062495.

Almost surely, 22274631632 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 2274631632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068128512).

2274631632 is an abundant number, since it is smaller than the sum of its proper divisors (5861625392).

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

2274631632 is a wasteful number, since it uses less digits than its factorization.

2274631632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2168 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 2274631632 is about 47693.0983686319. The cubic root of 2274631632 is about 1315.1350672562.

The spelling of 2274631632 in words is "two billion, two hundred seventy-four million, six hundred thirty-one thousand, six hundred thirty-two".