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22849701072 = 243112311316651
BaseRepresentation
bin10101010001111100…
…101100010011010000
32011222102202002012220
4111101330230103100
5333244010413242
614255204221040
71436144153202
oct252174542320
964872662186
1022849701072
119766073680
12451839a780
132201bb71a3
14116a966772
158db021bec
hex551f2c4d0

22849701072 has 160 divisors (see below), whose sum is σ = 67793089536. Its totient is φ = 6564096000.

The previous prime is 22849701067. The next prime is 22849701073. The reversal of 22849701072 is 27010794822.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22849701073) 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, 1363947 + ... + 1380597.

Almost surely, 222849701072 is an apocalyptic number.

22849701072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22849701072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33896544768).

22849701072 is an abundant number, since it is smaller than the sum of its proper divisors (44943388464).

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

22849701072 is a wasteful number, since it uses less digits than its factorization.

22849701072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16809 (or 16803 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 22849701072 in words is "twenty-two billion, eight hundred forty-nine million, seven hundred one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 113 132 138 176 184 226 253 264 276 339 368 452 506 528 552 678 759 904 1012 1104 1243 1356 1518 1808 2024 2486 2599 2712 3036 3729 4048 4972 5198 5424 6072 7458 7797 9944 10396 12144 14916 15594 16651 19888 20792 28589 29832 31188 33302 41584 49953 57178 59664 62376 66604 85767 99906 114356 124752 133208 171534 183161 199812 228712 266416 343068 366322 382973 399624 457424 549483 686136 732644 765946 799248 1098966 1148919 1372272 1465288 1531892 1881563 2197932 2297838 2930576 3063784 3763126 4212703 4395864 4595676 5644689 6127568 7526252 8425406 8791728 9191352 11289378 12638109 15052504 16850812 18382704 20697193 22578756 25276218 30105008 33701624 41394386 43275949 45157512 50552436 62091579 67403248 82788772 86551898 90315024 101104872 124183158 129827847 165577544 173103796 202209744 248366316 259655694 331155088 346207592 476035439 496732632 519311388 692415184 952070878 993465264 1038622776 1428106317 1904141756 2077245552 2856212634 3808283512 5712425268 7616567024 11424850536 22849701072