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2255668992 = 28333071063
BaseRepresentation
bin1000011001110010…
…1100011100000000
312211012102212011000
42012130230130000
514104422401432
61011454452000
7106616604303
oct20634543400
95735385130
102255668992
11a582a2555
1252b504000
1329c4231a5
1417580cb3a
15d306657c
hex8672c700

2255668992 has 144 divisors (see below), whose sum is σ = 6698433280. Its totient is φ = 748735488.

The previous prime is 2255668991. The next prime is 2255669023. The reversal of 2255668992 is 2998665522.

2255668992 is a `hidden beast` number, since 2 + 2 + 556 + 6 + 89 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255668991) 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, 2121453 + ... + 2122515.

Almost surely, 22255668992 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 2255668992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349216640).

2255668992 is an abundant number, since it is smaller than the sum of its proper divisors (4442764288).

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

2255668992 is a wasteful number, since it uses less digits than its factorization.

2255668992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1375 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 2255668992 is about 47493.8837325397. The cubic root of 2255668992 is about 1311.4702898307.

The spelling of 2255668992 in words is "two billion, two hundred fifty-five million, six hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 307 384 432 576 614 768 864 921 1063 1152 1228 1728 1842 2126 2304 2456 2763 3189 3456 3684 4252 4912 5526 6378 6912 7368 8289 8504 9567 9824 11052 12756 14736 16578 17008 19134 19648 22104 25512 28701 29472 33156 34016 38268 39296 44208 51024 57402 58944 66312 68032 76536 78592 88416 102048 114804 117888 132624 136064 153072 176832 204096 229608 235776 265248 272128 306144 326341 353664 408192 459216 530496 612288 652682 707328 816384 918432 979023 1060992 1224576 1305364 1836864 1958046 2121984 2449152 2610728 2937069 3673728 3916092 5221456 5874138 7347456 7832184 8811207 10442912 11748276 15664368 17622414 20885824 23496552 31328736 35244828 41771648 46993104 62657472 70489656 83543296 93986208 125314944 140979312 187972416 250629888 281958624 375944832 563917248 751889664 1127834496 2255668992