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22010156480 = 265137437121
BaseRepresentation
bin10100011111111010…
…000101010111000000
32002210220222210112202
4110133322011113000
5330034100001410
614040014012332
71406301146264
oct243772052700
962726883482
1022010156480
119375183374
1243231a70a8
1320c9c99b40
1410cb2660a4
1588c487ca5
hex51fe855c0

22010156480 has 112 divisors (see below), whose sum is σ = 56527257024. Its totient is φ = 8114749440.

The previous prime is 22010156423. The next prime is 22010156537. The reversal of 22010156480 is 8465101022.

It is an interprime number because it is at equal distance from previous prime (22010156423) and next prime (22010156537).

It is a super-3 number, since 3×220101564803 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3087320 + ... + 3094440.

It is an arithmetic number, because the mean of its divisors is an integer number (504707652).

Almost surely, 222010156480 is an apocalyptic number.

22010156480 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 22010156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28263628512).

22010156480 is an abundant number, since it is smaller than the sum of its proper divisors (34517100544).

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

22010156480 is a wasteful number, since it uses less digits than its factorization.

22010156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7894 (or 7884 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 22010156480 in words is "twenty-two billion, ten million, one hundred fifty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 743 832 1040 1486 2080 2972 3715 4160 5944 7121 7430 9659 11888 14242 14860 19318 23776 28484 29720 35605 38636 47552 48295 56968 59440 71210 77272 92573 96590 113936 118880 142420 154544 185146 193180 227872 237760 284840 309088 370292 386360 455744 462865 569680 618176 740584 772720 925730 1139360 1481168 1545440 1851460 2278720 2962336 3090880 3702920 5290903 5924672 7405840 10581806 14811680 21163612 26454515 29623360 42327224 52909030 68781739 84654448 105818060 137563478 169308896 211636120 275126956 338617792 343908695 423272240 550253912 687817390 846544480 1100507824 1375634780 1693088960 2201015648 2751269560 4402031296 5502539120 11005078240 22010156480