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8220422628 = 22321132036481
BaseRepresentation
bin1111010011111100…
…11011000111100100
3210012220011201220100
413221332123013210
5113313412011003
63435412104100
7410465303505
oct75176330744
923186151810
108220422628
11353923a210
121715005030
13a100cb002
1457da84bac
15331a3aba3
hex1e9f9b1e4

8220422628 has 72 divisors (see below), whose sum is σ = 22679014176. Its totient is φ = 2489875200.

The previous prime is 8220422591. The next prime is 8220422653. The reversal of 8220422628 is 8262240228.

8220422628 is a `hidden beast` number, since 8 + 2 + 2 + 0 + 4 + 22 + 628 = 666.

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 = 8220422592 and 8220422601.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1265148 + ... + 1271628.

It is an arithmetic number, because the mean of its divisors is an integer number (314986308).

Almost surely, 28220422628 is an apocalyptic number.

It is an amenable number.

8220422628 is an abundant number, since it is smaller than the sum of its proper divisors (14458591548).

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

8220422628 is a wasteful number, since it uses less digits than its factorization.

8220422628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9705 (or 9700 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 8220422628 is about 90666.5463553123. The cubic root of 8220422628 is about 2018.2023863211.

The spelling of 8220422628 in words is "eight billion, two hundred twenty million, four hundred twenty-two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 3203 6406 6481 9609 12812 12962 19218 19443 25924 28827 35233 38436 38886 57654 58329 70466 71291 77772 105699 115308 116658 140932 142582 211398 213873 233316 285164 317097 422796 427746 634194 641619 855492 1268388 1283238 2566476 20758643 41517286 62275929 83034572 124551858 186827787 228345073 249103716 373655574 456690146 685035219 747311148 913380292 1370070438 2055105657 2740140876 4110211314 8220422628