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2256402144 = 25383283183
BaseRepresentation
bin1000011001111101…
…1111011011100000
312211020211002211210
42012133133123200
514110114332034
61011522310120
7106626046623
oct20637373340
95736732753
102256402144
11a58753367
1252b7b8340
1329c61bac9
1417595ddba
15d315d8e9
hex867df6e0

2256402144 has 48 divisors (see below), whose sum is σ = 5994438912. Its totient is φ = 743069568.

The previous prime is 2256402119. The next prime is 2256402149. The reversal of 2256402144 is 4412046522.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256402149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133624 + ... + 149559.

It is an arithmetic number, because the mean of its divisors is an integer number (124884144).

Almost surely, 22256402144 is an apocalyptic number.

2256402144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2256402144 is an abundant number, since it is smaller than the sum of its proper divisors (3738036768).

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

2256402144 is a wasteful number, since it uses less digits than its factorization.

2256402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283279 (or 283271 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2256402144 is about 47501.6014887919. The cubic root of 2256402144 is about 1311.6123619339.

Adding to 2256402144 its reverse (4412046522), we get a palindrome (6668448666).

The spelling of 2256402144 in words is "two billion, two hundred fifty-six million, four hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7968 283183 566366 849549 1132732 1699098 2265464 3398196 4530928 6796392 9061856 13592784 23504189 27185568 47008378 70512567 94016756 141025134 188033512 282050268 376067024 564100536 752134048 1128201072 2256402144