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2255401962 = 2331131532311
BaseRepresentation
bin1000011001101110…
…1011001111101010
312211011221021212000
42012123223033222
514104340330322
61011445031430
7106614412632
oct20633531752
95734837760
102255401962
11a5812a970
1252b3b5576
1329c35b798
1417577d6c2
15d30123ac
hex866eb3ea

2255401962 has 128 divisors (see below), whose sum is σ = 5752995840. Its totient is φ = 648648000.

The previous prime is 2255401927. The next prime is 2255401963. The reversal of 2255401962 is 2691045522.

2255401962 is a `hidden beast` number, since 2 + 25 + 540 + 1 + 96 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2255401963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 974787 + ... + 977097.

It is an arithmetic number, because the mean of its divisors is an integer number (44945280).

Almost surely, 22255401962 is an apocalyptic number.

2255401962 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 2255401962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876497920).

2255401962 is an abundant number, since it is smaller than the sum of its proper divisors (3497593878).

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

2255401962 is a wasteful number, since it uses less digits than its factorization.

2255401962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2255401962 is about 47491.0724452502. The cubic root of 2255401962 is about 1311.4185364141.

The spelling of 2255401962 in words is "two billion, two hundred fifty-five million, four hundred one thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 53 54 62 66 93 99 106 159 186 198 279 297 318 341 477 558 583 594 682 837 954 1023 1166 1431 1643 1674 1749 2046 2311 2862 3069 3286 3498 4622 4929 5247 6138 6933 9207 9858 10494 13866 14787 15741 18073 18414 20799 25421 29574 31482 36146 41598 44361 50842 54219 62397 71641 76263 88722 108438 122483 124794 143282 152526 162657 214923 228789 244966 325314 367449 429846 457578 487971 644769 686367 734898 788051 975942 1102347 1289538 1347313 1372734 1576102 1934307 2204694 2364153 2694626 3307041 3796973 3868614 4041939 4728306 6614082 7092459 7593946 8083878 11390919 12125817 14184918 21277377 22781838 24251634 34172757 36377451 41766703 42554754 68345514 72754902 83533406 102518271 125300109 205036542 250600218 375900327 751800654 1127700981 2255401962