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22151343420 = 223251919133911
BaseRepresentation
bin10100101000010100…
…101010110100111100
32010011202122211121200
4110220110222310330
5330331220442140
614102020055500
71412634212103
oct245024526474
963152584550
1022151343420
119437946198
124362534590
1321203014cb
141101cd903a
15899a76030
hex52852ad3c

22151343420 has 144 divisors (see below), whose sum is σ = 71101255680. Its totient is φ = 5566665600.

The previous prime is 22151343419. The next prime is 22151343449. The reversal of 22151343420 is 2434315122.

22151343420 is a `hidden beast` number, since 2 + 215 + 13 + 434 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636265 + ... + 670175.

It is an arithmetic number, because the mean of its divisors is an integer number (493758720).

Almost surely, 222151343420 is an apocalyptic number.

22151343420 is a gapful number since it is divisible by the number (20) 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 22151343420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35550627840).

22151343420 is an abundant number, since it is smaller than the sum of its proper divisors (48949912260).

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

22151343420 is a wasteful number, since it uses less digits than its factorization.

22151343420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34136 (or 34131 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 22151343420 its reverse (2434315122), we get a palindrome (24585658542).

The spelling of 22151343420 in words is "twenty-two billion, one hundred fifty-one million, three hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 191 228 285 342 380 382 570 573 684 764 855 955 1140 1146 1710 1719 1910 2292 2865 3420 3438 3629 3820 5730 6876 7258 8595 10887 11460 14516 17190 18145 21774 32661 33911 34380 36290 43548 54435 65322 67822 72580 101733 108870 130644 135644 163305 169555 203466 217740 305199 326610 339110 406932 508665 610398 644309 653220 678220 1017330 1220796 1288618 1525995 1932927 2034660 2577236 3051990 3221545 3865854 5798781 6103980 6443090 6477001 7731708 9664635 11597562 12886180 12954002 19329270 19431003 23195124 25908004 28993905 32385005 38658540 38862006 57987810 58293009 64770010 77724012 97155015 115975620 116586018 123063019 129540020 194310030 233172036 246126038 291465045 369189057 388620060 492252076 582930090 615315095 738378114 1107567171 1165860180 1230630190 1476756228 1845945285 2215134342 2461260380 3691890570 4430268684 5537835855 7383781140 11075671710 22151343420