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2274363360 = 25365173137
BaseRepresentation
bin1000011110010000…
…0000011111100000
312212111121122000000
42013210000133200
514124214111420
61013403300000
7110234524653
oct20744003740
95774548000
102274363360
11a67900945
1253581a600
132a326a249
141780b789a
15d4a0a690
hex879007e0

2274363360 has 672 divisors, whose sum is σ = 9043114752. Its totient is φ = 537477120.

The previous prime is 2274363347. The next prime is 2274363361. The reversal of 2274363360 is 633634722.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2274363361) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 61469262 + ... + 61469298.

It is an arithmetic number, because the mean of its divisors is an integer number (13457016).

Almost surely, 22274363360 is an apocalyptic number.

2274363360 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 2274363360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521557376).

2274363360 is an abundant number, since it is smaller than the sum of its proper divisors (6768751392).

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

2274363360 is a wasteful number, since it uses less digits than its factorization.

2274363360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 2274363360 is about 47690.2858032954. The cubic root of 2274363360 is about 1315.0833625052.

The spelling of 2274363360 in words is "two billion, two hundred seventy-four million, three hundred sixty-three thousand, three hundred sixty".