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22727969712 = 2433713157373
BaseRepresentation
bin10101001010101100…
…010100101110110000
32011122221200111012000
4111022230110232300
5333021330012322
614235135134000
71433135361240
oct251254245660
964587614160
1022727969712
11970338a048
1244a3674300
1321b29051b6
141158719b20
158d04c83ac
hex54ab14bb0

22727969712 has 160 divisors (see below), whose sum is σ = 75127810560. Its totient is φ = 6444023040.

The previous prime is 22727969699. The next prime is 22727969713. The reversal of 22727969712 is 21796972722.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22727969713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367458 + ... + 424830.

It is an arithmetic number, because the mean of its divisors is an integer number (469548816).

Almost surely, 222727969712 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 22727969712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37563905280).

22727969712 is an abundant number, since it is smaller than the sum of its proper divisors (52399840848).

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

22727969712 is a wasteful number, since it uses less digits than its factorization.

22727969712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57528 (or 57516 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The spelling of 22727969712 in words is "twenty-two billion, seven hundred twenty-seven million, nine hundred sixty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 131 144 168 189 216 252 262 336 378 393 432 504 524 756 786 917 1008 1048 1179 1512 1572 1834 2096 2358 2751 3024 3144 3537 3668 4716 5502 6288 7074 7336 8253 9432 11004 14148 14672 16506 18864 22008 24759 28296 33012 44016 49518 56592 57373 66024 99036 114746 132048 172119 198072 229492 344238 396144 401611 458984 516357 688476 803222 917968 1032714 1204833 1376952 1549071 1606444 2065428 2409666 2753904 3098142 3212888 3614499 4130856 4819332 6196284 6425776 7228998 7515863 8261712 9638664 10843497 12392568 14457996 15031726 19277328 21686994 22547589 24785136 28915992 30063452 43373988 45095178 52611041 57831984 60126904 67642767 86747976 90190356 105222082 120253808 135285534 157833123 173495952 180380712 202928301 210444164 270571068 315666246 360761424 405856602 420888328 473499369 541142136 631332492 811713204 841776656 946998738 1082284272 1262664984 1420498107 1623426408 1893997476 2525329968 2840996214 3246852816 3787994952 5681992428 7575989904 11363984856 22727969712