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2255918364 = 223473892557
BaseRepresentation
bin1000011001110110…
…1001010100011100
312211012220112020000
42012131221110130
514110003341424
61011504054300
7106621663320
oct20635512434
95735815200
102255918364
11a58452947
1252b604390
1329c4ac84b
14175875980
15d30b53c9
hex8676951c

2255918364 has 120 divisors (see below), whose sum is σ = 6759873120. Its totient is φ = 642639744.

The previous prime is 2255918363. The next prime is 2255918383. The reversal of 2255918364 is 4638195522.

2255918364 is a `hidden beast` number, since 2 + 25 + 591 + 8 + 36 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255918363) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 880974 + ... + 883530.

It is an arithmetic number, because the mean of its divisors is an integer number (56332276).

Almost surely, 22255918364 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 2255918364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379936560).

2255918364 is an abundant number, since it is smaller than the sum of its proper divisors (4503954756).

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

2255918364 is a wasteful number, since it uses less digits than its factorization.

2255918364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2958 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 2255918364 is about 47496.5089664493. The cubic root of 2255918364 is about 1311.5186172403.

The spelling of 2255918364 in words is "two billion, two hundred fifty-five million, nine hundred eighteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 389 567 756 778 1134 1167 1556 2268 2334 2557 2723 3501 4668 5114 5446 7002 7671 8169 10228 10503 10892 14004 15342 16338 17899 21006 23013 24507 30684 31509 32676 35798 42012 46026 49014 53697 63018 69039 71596 73521 92052 98028 107394 126036 138078 147042 161091 207117 214788 220563 276156 294084 322182 414234 441126 483273 644364 828468 882252 966546 994673 1449819 1933092 1989346 2899638 2984019 3978692 5799276 5968038 6962711 8952057 11936076 13925422 17904114 20888133 26856171 27850844 35808228 41776266 53712342 62664399 80568513 83552532 107424684 125328798 161137026 187993197 250657596 322274052 375986394 563979591 751972788 1127959182 2255918364