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2261339256 = 2331141593541
BaseRepresentation
bin1000011011001001…
…0100110001111000
312211121002221021210
42012302110301320
514112400324011
61012220203120
7110016031551
oct20662246170
95747087253
102261339256
11a60515720
125313994a0
132a065a087
14176487328
15d37d66a6
hex86c94c78

2261339256 has 128 divisors (see below), whose sum is σ = 6426604800. Its totient is φ = 657024000.

The previous prime is 2261339251. The next prime is 2261339257. The reversal of 2261339256 is 6529331622.

It is a super-2 number, since 2×22613392562 = 10227310461453267072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261339251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636846 + ... + 640386.

It is an arithmetic number, because the mean of its divisors is an integer number (50207850).

Almost surely, 22261339256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261339256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213302400).

2261339256 is an abundant number, since it is smaller than the sum of its proper divisors (4165265544).

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

2261339256 is a wasteful number, since it uses less digits than its factorization.

2261339256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3657 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 2261339256 is about 47553.5409407123. The cubic root of 2261339256 is about 1312.5682878574.

The spelling of 2261339256 in words is "two billion, two hundred sixty-one million, three hundred thirty-nine thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 59 66 82 88 118 123 132 164 177 236 246 264 328 354 451 472 492 649 708 902 984 1298 1353 1416 1804 1947 2419 2596 2706 3541 3608 3894 4838 5192 5412 7082 7257 7788 9676 10623 10824 14164 14514 15576 19352 21246 26609 28328 29028 38951 42492 53218 58056 77902 79827 84984 106436 116853 145181 155804 159654 208919 212872 233706 290362 311608 319308 417838 435543 467412 580724 626757 638616 835676 871086 934824 1161448 1253514 1596991 1671352 1742172 2298109 2507028 3193982 3484344 4596218 4790973 5014056 6387964 6894327 8565679 9192436 9581946 12775928 13788654 17131358 18384872 19163892 25697037 27577308 34262716 38327784 51394074 55154616 68525432 94222469 102788148 188444938 205576296 282667407 376889876 565334814 753779752 1130669628 2261339256