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8228064680 = 2351131758991
BaseRepresentation
bin1111010100110111…
…00100110110101000
3210020102112222211022
413222123210312220
5113322341032210
63440243552012
7410620252523
oct75233446650
923212488738
108228064680
113542589860
12171768b608
13a11875534
14580ab3bba
1533254a155
hex1ea6e4da8

8228064680 has 64 divisors (see below), whose sum is σ = 20260212480. Its totient is φ = 2982534400.

The previous prime is 8228064679. The next prime is 8228064683. The reversal of 8228064680 is 864608228.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (8228064683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109985 + ... + 168975.

It is an arithmetic number, because the mean of its divisors is an integer number (316565820).

Almost surely, 28228064680 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 8228064680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10130106240).

8228064680 is an abundant number, since it is smaller than the sum of its proper divisors (12032147800).

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

8228064680 is a wasteful number, since it uses less digits than its factorization.

8228064680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59330 (or 59326 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The square root of 8228064680 is about 90708.6802902567. The cubic root of 8228064680 is about 2018.8275946749.

The spelling of 8228064680 in words is "eight billion, two hundred twenty-eight million, sixty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 317 440 634 1268 1585 2536 3170 3487 6340 6974 12680 13948 17435 27896 34870 58991 69740 117982 139480 235964 294955 471928 589910 648901 1179820 1297802 2359640 2595604 3244505 5191208 6489010 12978020 18700147 25956040 37400294 74800588 93500735 149601176 187001470 205701617 374002940 411403234 748005880 822806468 1028508085 1645612936 2057016170 4114032340 8228064680