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2250786144 = 25325799091
BaseRepresentation
bin1000011000101000…
…0100010101100000
312210212020210010210
42012022010111200
514102200124034
61011202054120
7106530236505
oct20612042540
95725223123
102250786144
11a55567a42
1252994a340
1329b403829
14174cdb4ac
15d28ee8e9
hex86284560

2250786144 has 48 divisors (see below), whose sum is σ = 5911254720. Its totient is φ = 749888640.

The previous prime is 2250786127. The next prime is 2250786173. The reversal of 2250786144 is 4416870522.

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

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, 243039 + ... + 252129.

It is an arithmetic number, because the mean of its divisors is an integer number (123151140).

Almost surely, 22250786144 is an apocalyptic number.

2250786144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2250786144 is an abundant number, since it is smaller than the sum of its proper divisors (3660468576).

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

2250786144 is a wasteful number, since it uses less digits than its factorization.

2250786144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11683 (or 11675 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 2250786144 is about 47442.4508641786. The cubic root of 2250786144 is about 1310.5232926761.

The spelling of 2250786144 in words is "two billion, two hundred fifty million, seven hundred eighty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2579 5158 7737 9091 10316 15474 18182 20632 27273 30948 36364 41264 54546 61896 72728 82528 109092 123792 145456 218184 247584 290912 436368 872736 23445689 46891378 70337067 93782756 140674134 187565512 281348268 375131024 562696536 750262048 1125393072 2250786144