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2254165968 = 243232041817
BaseRepresentation
bin1000011001011011…
…1101011111010000
312211002121111101110
42012112331133100
514104031302333
61011402333320
7106601044305
oct20626753720
95732544343
102254165968
11a5746628a
1252aaba240
1329c018022
1417553b0ac
15d2d6b063
hex865bd7d0

2254165968 has 40 divisors (see below), whose sum is σ = 6076450368. Its totient is φ = 718719232.

The previous prime is 2254165943. The next prime is 2254165981. The reversal of 2254165968 is 8695614522.

It is a super-2 number, since 2×22541659682 = 10162528422578754048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1019805 + ... + 1022012.

Almost surely, 22254165968 is an apocalyptic number.

It is an amenable number.

2254165968 is an abundant number, since it is smaller than the sum of its proper divisors (3822284400).

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

2254165968 is a wasteful number, since it uses less digits than its factorization.

2254165968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041851 (or 2041845 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 2254165968 is about 47478.0577530295. The cubic root of 2254165968 is about 1311.1789336509.

The spelling of 2254165968 in words is "two billion, two hundred fifty-four million, one hundred sixty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 2041817 4083634 6125451 8167268 12250902 16334536 24501804 32669072 46961791 49003608 93923582 98007216 140885373 187847164 281770746 375694328 563541492 751388656 1127082984 2254165968