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22980440028 = 22372135415557
BaseRepresentation
bin10101011001101111…
…011010111111011100
32012022112202022100110
4111121233122333130
5334030443040103
614320154330020
71442322342300
oct253157327734
965275668313
1022980440028
11982294a7a7
124554129910
132223001110
141180079d00
158e7749403
hex559bdafdc

22980440028 has 144 divisors (see below), whose sum is σ = 67309869984. Its totient is φ = 6048483840.

The previous prime is 22980440023. The next prime is 22980440029. The reversal of 22980440028 is 82004408922.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22980440023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4132626 + ... + 4138182.

Almost surely, 222980440028 is an apocalyptic number.

22980440028 is a gapful number since it is divisible by the number (28) 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 22980440028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33654934992).

22980440028 is an abundant number, since it is smaller than the sum of its proper divisors (44329429956).

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

22980440028 is a wasteful number, since it uses less digits than its factorization.

22980440028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6132 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 22980440028 in words is "twenty-two billion, nine hundred eighty million, four hundred forty thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 541 546 588 637 1082 1092 1274 1623 1911 2164 2548 3246 3787 3822 5557 6492 7033 7574 7644 11114 11361 14066 15148 16671 21099 22228 22722 26509 28132 33342 38899 42198 45444 49231 53018 66684 72241 77798 79527 84396 98462 106036 116697 144482 147693 155596 159054 196924 216723 233394 272293 288964 295386 318108 344617 433446 466788 505687 544586 590772 689234 816879 866892 1011374 1033851 1089172 1378468 1517061 1633758 2022748 2067702 3006337 3034122 3267516 3539809 4135404 6012674 6068244 7079618 9019011 10619427 12025348 14159236 18038022 21044359 21238854 36076044 39082381 42088718 42477708 63133077 78164762 84177436 117247143 126266154 147310513 156329524 234494286 252532308 273576667 294621026 441931539 468988572 547153334 589242052 820730001 883863078 1094306668 1641460002 1767726156 1915036669 3282920004 3830073338 5745110007 7660146676 11490220014 22980440028