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2274116064 = 253112153519
BaseRepresentation
bin1000011110001100…
…0100000111100000
312212111011001202220
42013203010013200
514124133203224
61013354111040
7110232444663
oct20743040740
95774131686
102274116064
11a67752070
1253571b480
132a31b180c
141780516da
15d49ac279
hex878c41e0

2274116064 has 48 divisors (see below), whose sum is σ = 6512244480. Its totient is φ = 689125760.

The previous prime is 2274116059. The next prime is 2274116147. The reversal of 2274116064 is 4606114722.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1075704 + ... + 1077815.

It is an arithmetic number, because the mean of its divisors is an integer number (135671760).

Almost surely, 22274116064 is an apocalyptic number.

2274116064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2274116064 is an abundant number, since it is smaller than the sum of its proper divisors (4238128416).

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

2274116064 is a wasteful number, since it uses less digits than its factorization.

2274116064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153543 (or 2153535 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2274116064 is about 47687.6930035413. The cubic root of 2274116064 is about 1315.0356969110.

The spelling of 2274116064 in words is "two billion, two hundred seventy-four million, one hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2153519 4307038 6460557 8614076 12921114 17228152 23688709 25842228 34456304 47377418 51684456 68912608 71066127 94754836 103368912 142132254 189509672 206737824 284264508 379019344 568529016 758038688 1137058032 2274116064