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2255045136 = 24359978209
BaseRepresentation
bin1000011001101001…
…0100001000010000
312211011021011101020
42012122110020100
514104242421021
61011433235440
7106611365421
oct20632241020
95734234336
102255045136
11a57a06873
1252b262b80
1329c265246
141756c9648
15d2e917c6
hex86694210

2255045136 has 80 divisors (see below), whose sum is σ = 5986075200. Its totient is φ = 731234304.

The previous prime is 2255045131. The next prime is 2255045137. The reversal of 2255045136 is 6315405522.

It is a junction number, because it is equal to n+sod(n) for n = 2255045097 and 2255045106.

It is not an unprimeable number, because it can be changed into a prime (2255045131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270600 + ... + 278808.

It is an arithmetic number, because the mean of its divisors is an integer number (74825940).

Almost surely, 22255045136 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 2255045136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993037600).

2255045136 is an abundant number, since it is smaller than the sum of its proper divisors (3731030064).

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

2255045136 is a wasteful number, since it uses less digits than its factorization.

2255045136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8376 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 2255045136 is about 47487.3155274122. The cubic root of 2255045136 is about 1311.3493731461.

The spelling of 2255045136 in words is "two billion, two hundred fifty-five million, forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 97 118 177 194 236 291 354 388 472 582 708 776 944 1164 1416 1552 2328 2832 4656 5723 8209 11446 16418 17169 22892 24627 32836 34338 45784 49254 65672 68676 91568 98508 131344 137352 197016 274704 394032 484331 796273 968662 1452993 1592546 1937324 2388819 2905986 3185092 3874648 4777638 5811972 6370184 7749296 9555276 11623944 12740368 19110552 23247888 38221104 46980107 93960214 140940321 187920428 281880642 375840856 563761284 751681712 1127522568 2255045136