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2255499936 = 253229326729
BaseRepresentation
bin1000011001110000…
…0011001010100000
312211012010021020200
42012130003022200
514104401444221
61011451105200
7106615301364
oct20634031240
95735107220
102255499936
11a58197538
1252b442200
1329c394261
141757a72a4
15d3031426
hex867032a0

2255499936 has 72 divisors (see below), whose sum is σ = 6436209780. Its totient is φ = 749239296.

The previous prime is 2255499931. The next prime is 2255499989. The reversal of 2255499936 is 6399945522.

It is a happy number.

2255499936 is a `hidden beast` number, since 2 + 2 + 5 + 549 + 9 + 93 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1998090000 + 257409936 = 44700^2 + 16044^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×22554999362 = 10174559922592008192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2255499931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71020 + ... + 97748.

Almost surely, 22255499936 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 2255499936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218104890).

2255499936 is an abundant number, since it is smaller than the sum of its proper divisors (4180709844).

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

2255499936 is a wasteful number, since it uses less digits than its factorization.

2255499936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27038 (or 27027 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The square root of 2255499936 is about 47492.1039331803. The cubic root of 2255499936 is about 1311.4375253514.

The spelling of 2255499936 in words is "two billion, two hundred fifty-five million, four hundred ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 293 586 879 1172 1758 2344 2637 3516 4688 5274 7032 9376 10548 14064 21096 26729 28128 42192 53458 80187 84384 106916 160374 213832 240561 320748 427664 481122 641496 855328 962244 1282992 1924488 2565984 3848976 7697952 7831597 15663194 23494791 31326388 46989582 62652776 70484373 93979164 125305552 140968746 187958328 250611104 281937492 375916656 563874984 751833312 1127749968 2255499936