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2256520440 = 2335139135283
BaseRepresentation
bin1000011001111111…
…1100010011111000
312211021001010010010
42012133330103320
514110132123230
61011525021520
7106630051536
oct20637742370
95737033103
102256520440
11a58824229
1252b8548a0
1329c6608c5
14175991156
15d31839b0
hex867fc4f8

2256520440 has 64 divisors (see below), whose sum is σ = 6818313600. Its totient is φ = 597405312.

The previous prime is 2256520423. The next prime is 2256520459. The reversal of 2256520440 is 440256522.

It is a happy number.

It is a super-2 number, since 2×22565204402 = 10183768992275587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2256520398 and 2256520407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50962 + ... + 84321.

It is an arithmetic number, because the mean of its divisors is an integer number (106536150).

Almost surely, 22256520440 is an apocalyptic number.

2256520440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256520440 is an abundant number, since it is smaller than the sum of its proper divisors (4561793160).

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

2256520440 is a wasteful number, since it uses less digits than its factorization.

2256520440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135436 (or 135432 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2256520440 is about 47502.8466515429. The cubic root of 2256520440 is about 1311.6352827572.

Adding to 2256520440 its reverse (440256522), we get a palindrome (2696776962).

The spelling of 2256520440 in words is "two billion, two hundred fifty-six million, five hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4170 5560 8340 16680 135283 270566 405849 541132 676415 811698 1082264 1352830 1623396 2029245 2705660 3246792 4058490 5411320 8116980 16233960 18804337 37608674 56413011 75217348 94021685 112826022 150434696 188043370 225652044 282065055 376086740 451304088 564130110 752173480 1128260220 2256520440