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22272169140 = 223251323413827
BaseRepresentation
bin10100101111100001…
…100101010010110100
32010111012000102100100
4110233201211102310
5331103133403030
614122013514100
71415632212504
oct245741452264
963435012310
1022272169140
11949a071361
124396aa2930
13213c357210
141113d8ba04
158a5491360
hex52f8654b4

22272169140 has 144 divisors (see below), whose sum is σ = 75919229568. Its totient is φ = 5244003072.

The previous prime is 22272169079. The next prime is 22272169141. The reversal of 22272169140 is 4196127222.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22272169095 and 22272169104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22272169141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153094 + ... + 260733.

It is an arithmetic number, because the mean of its divisors is an integer number (527216872).

Almost surely, 222272169140 is an apocalyptic number.

22272169140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22272169140 is an abundant number, since it is smaller than the sum of its proper divisors (53647060428).

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

22272169140 is a wasteful number, since it uses less digits than its factorization.

22272169140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413878 (or 413873 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 22272169140 in words is "twenty-two billion, two hundred seventy-two million, one hundred sixty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 65 69 78 90 92 115 117 130 138 156 180 195 207 230 234 260 276 299 345 390 414 460 468 585 598 690 780 828 897 1035 1170 1196 1380 1495 1794 2070 2340 2691 2990 3588 4140 4485 5382 5980 8970 10764 13455 17940 26910 53820 413827 827654 1241481 1655308 2069135 2482962 3724443 4138270 4965924 5379751 6207405 7448886 8276540 9518021 10759502 12414810 14897772 16139253 18622215 19036042 21519004 24829620 26898755 28554063 32278506 37244430 38072084 47590105 48417759 53797510 57108126 64557012 74488860 80696265 85662189 95180210 96835518 107595020 114216252 123734273 142770315 161392530 171324378 190360420 193671036 242088795 247468546 285540630 322785060 342648756 371202819 428310945 484177590 494937092 571081260 618671365 742405638 856621890 968355180 1113608457 1237342730 1484811276 1713243780 1856014095 2227216914 2474685460 3712028190 4454433828 5568042285 7424056380 11136084570 22272169140