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2256235464 = 2337137167587
BaseRepresentation
bin1000011001111011…
…0110101111001000
312211020111122012110
42012132312233020
514110044013324
61011514542320
7106624453650
oct20636665710
95736448173
102256235464
11a5864a10a
1252b7379a0
1329c590c92
14175919360
15d3129329
hex867b6bc8

2256235464 has 128 divisors (see below), whose sum is σ = 6543452160. Its totient is φ = 635017728.

The previous prime is 2256235447. The next prime is 2256235477. The reversal of 2256235464 is 4645326522.

It is a super-2 number, since 2×22562354642 = 10181196938022590592, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3843379 + ... + 3843965.

It is an arithmetic number, because the mean of its divisors is an integer number (51120720).

Almost surely, 22256235464 is an apocalyptic number.

2256235464 is a gapful number since it is divisible by the number (24) 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 2256235464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271726080).

2256235464 is an abundant number, since it is smaller than the sum of its proper divisors (4287216696).

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

2256235464 is a wasteful number, since it uses less digits than its factorization.

2256235464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 903 counting only the distinct ones).

The product of its digits is 345600, while the sum is 39.

The square root of 2256235464 is about 47499.8469892272. The cubic root of 2256235464 is about 1311.5800649528.

The spelling of 2256235464 in words is "two billion, two hundred fifty-six million, two hundred thirty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 137 167 168 274 334 411 501 548 587 668 822 959 1002 1096 1169 1174 1336 1644 1761 1918 2004 2338 2348 2877 3288 3507 3522 3836 4008 4109 4676 4696 5754 7014 7044 7672 8218 9352 11508 12327 14028 14088 16436 22879 23016 24654 28056 32872 45758 49308 68637 80419 91516 98029 98616 137274 160153 160838 183032 196058 241257 274548 294087 320306 321676 392116 480459 482514 549096 562933 588174 640612 643352 686203 784232 960918 965028 1125866 1176348 1281224 1372406 1688799 1921836 1930056 2058609 2251732 2352696 2744812 3377598 3843672 4117218 4503464 5489624 6755196 8234436 13429973 13510392 16468872 26859946 40289919 53719892 80579838 94009811 107439784 161159676 188019622 282029433 322319352 376039244 564058866 752078488 1128117732 2256235464