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8820481212 = 22321731974793
BaseRepresentation
bin10000011011011110…
…11101110010111100
3211202201021212112100
420031233131302330
5121031020344322
64015125305100
7431402565444
oct101557356274
924681255470
108820481212
113816a280a4
121861b65190
13aa751746a
145d9645124
1536956adac
hex20dbddcbc

8820481212 has 144 divisors (see below), whose sum is σ = 24625665792. Its totient is φ = 2649784320.

The previous prime is 8820481199. The next prime is 8820481231. The reversal of 8820481212 is 2121840288.

It is a super-2 number, since 2×88204812122 (a number of 21 digits) contains 22 as substring.

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

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, 1837888 + ... + 1842680.

It is an arithmetic number, because the mean of its divisors is an integer number (171011568).

Almost surely, 28820481212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8820481212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12312832896).

8820481212 is an abundant number, since it is smaller than the sum of its proper divisors (15805184580).

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

8820481212 is a wasteful number, since it uses less digits than its factorization.

8820481212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4948 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 8820481212 is about 93917.4169789608. The cubic root of 8820481212 is about 2066.1606829397.

The spelling of 8820481212 in words is "eight billion, eight hundred twenty million, four hundred eighty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 97 102 124 153 186 194 204 279 291 306 372 388 527 558 582 612 873 1054 1116 1164 1581 1649 1746 2108 3007 3162 3298 3492 4743 4793 4947 6014 6324 6596 9021 9486 9586 9894 12028 14379 14841 18042 18972 19172 19788 27063 28758 29682 36084 43137 51119 54126 57516 59364 81481 86274 102238 108252 148583 153357 162962 172548 204476 244443 297166 306714 325924 445749 460071 464921 488886 594332 613428 733329 891498 920142 929842 977772 1337247 1394763 1466658 1782996 1840284 1859684 2525911 2674494 2789526 2933316 4184289 5051822 5348988 5579052 7577733 7903657 8368578 10103644 14412551 15155466 15807314 16737156 22733199 23710971 28825102 30310932 31614628 43237653 45466398 47421942 57650204 71132913 86475306 90932796 94843884 129712959 142265826 172950612 245013367 259425918 284531652 490026734 518851836 735040101 980053468 1470080202 2205120303 2940160404 4410240606 8820481212