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2273290656 = 253713237541
BaseRepresentation
bin1000011101111111…
…1010100110100000
312212102121010112020
42013133322212200
514123430300111
61013324301440
7110222436360
oct20737724640
95772533466
102273290656
11a67238a0a
125353a1880
132a2c82c00
14177cb89a0
15d4897906
hex877fa9a0

2273290656 has 288 divisors, whose sum is σ = 7598441088. Its totient is φ = 582266880.

The previous prime is 2273290639. The next prime is 2273290699. The reversal of 2273290656 is 6560923722.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4201746 + ... + 4202286.

It is an arithmetic number, because the mean of its divisors is an integer number (26383476).

Almost surely, 22273290656 is an apocalyptic number.

2273290656 is a gapful number since it is divisible by the number (26) 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 2273290656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799220544).

2273290656 is an abundant number, since it is smaller than the sum of its proper divisors (5325150432).

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

2273290656 is a wasteful number, since it uses less digits than its factorization.

2273290656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 2273290656 is about 47679.0379097565. The cubic root of 2273290656 is about 1314.8765768686.

The spelling of 2273290656 in words is "two billion, two hundred seventy-three million, two hundred ninety thousand, six hundred fifty-six".