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2257335102 = 231123897993
BaseRepresentation
bin1000011010001100…
…0011001100111110
312211022120111121210
42012203003030332
514110334210402
61011554305250
7106640013621
oct20643031476
95738514553
102257335102
11a59230300
1252bb88226
1329c887659
14175b23db8
15d329506c
hex868c333e

2257335102 has 48 divisors (see below), whose sum is σ = 4975785360. Its totient is φ = 682197120.

The previous prime is 2257335097. The next prime is 2257335139. The reversal of 2257335102 is 2015337522.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2257335102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278418 + ... + 286410.

It is an arithmetic number, because the mean of its divisors is an integer number (103662195).

Almost surely, 22257335102 is an apocalyptic number.

2257335102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257335102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487892680).

2257335102 is an abundant number, since it is smaller than the sum of its proper divisors (2718450258).

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

2257335102 is a wasteful number, since it uses less digits than its factorization.

2257335102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8409 (or 8398 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 2257335102 is about 47511.4207533305. The cubic root of 2257335102 is about 1311.7931084726.

It can be divided in two parts, 22573 and 35102, that added together give a palindrome (57675).

The spelling of 2257335102 in words is "two billion, two hundred fifty-seven million, three hundred thirty-five thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 389 726 778 1167 2334 4279 7993 8558 12837 15986 23979 25674 47069 47958 87923 94138 141207 175846 263769 282414 527538 967153 1934306 2901459 3109277 5802918 6218554 9327831 18655662 34202047 68404094 102606141 205212282 376222517 752445034 1128667551 2257335102