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8830181052 = 223271122714033
BaseRepresentation
bin10000011100101000…
…11101111010111100
3211210101112200012200
420032110131322330
5121041011243202
64020113231500
7431551205040
oct101624357274
924711480180
108830181052
1138214527a0
121865262590
13aa9532504
145daa4c020
1536a334e1c
hex20e51debc

8830181052 has 144 divisors (see below), whose sum is σ = 27953033472. Its totient is φ = 2283287040.

The previous prime is 8830181051. The next prime is 8830181053. The reversal of 8830181052 is 2501810388.

It is an interprime number because it is at equal distance from previous prime (8830181051) and next prime (8830181053).

It is a super-2 number, since 2×88301810522 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 8830180998 and 8830181016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8830181051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 622228 + ... + 636260.

It is an arithmetic number, because the mean of its divisors is an integer number (194118288).

Almost surely, 28830181052 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 8830181052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13976516736).

8830181052 is an abundant number, since it is smaller than the sum of its proper divisors (19122852420).

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

8830181052 is a wasteful number, since it uses less digits than its factorization.

8830181052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14288 (or 14283 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 8830181052 is about 93969.0430514220. The cubic root of 8830181052 is about 2066.9177877414.

The spelling of 8830181052 in words is "eight billion, eight hundred thirty million, one hundred eighty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 227 231 252 308 396 454 462 681 693 908 924 1362 1386 1589 2043 2497 2724 2772 3178 4086 4767 4994 6356 7491 8172 9534 9988 14033 14301 14982 17479 19068 22473 28066 28602 29964 34958 42099 44946 52437 56132 57204 69916 84198 89892 98231 104874 126297 154363 157311 168396 196462 209748 252594 294693 308726 314622 392924 463089 505188 589386 617452 629244 884079 926178 1080541 1178772 1389267 1768158 1852356 2161082 2778534 3185491 3241623 3536316 4322164 5557068 6370982 6483246 9556473 9724869 12741964 12966492 19112946 19449738 22298437 28669419 35040401 38225892 38899476 44596874 57338838 66895311 70080802 89193748 105121203 114677676 133790622 140161604 200685933 210242406 245282807 267581244 315363609 401371866 420484812 490565614 630727218 735848421 802743732 981131228 1261454436 1471696842 2207545263 2943393684 4415090526 8830181052