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819213204 = 2231719320807
BaseRepresentation
bin110000110101000…
…011001110010100
32010002111100020210
4300311003032110
53134204310304
6213142325420
726205124455
oct6065031624
92102440223
10819213204
11390474007
121aa429870
1310094c154
147ab2b12c
154bdbec89
hex30d43394

819213204 has 48 divisors (see below), whose sum is σ = 2034523008. Its totient is φ = 255664128.

The previous prime is 819213193. The next prime is 819213211. The reversal of 819213204 is 402312918.

It is a super-2 number, since 2×8192132042 = 1342220547215891232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28969 + ... + 49775.

It is an arithmetic number, because the mean of its divisors is an integer number (42385896).

Almost surely, 2819213204 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 819213204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017261504).

819213204 is an abundant number, since it is smaller than the sum of its proper divisors (1215309804).

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

819213204 is a wasteful number, since it uses less digits than its factorization.

819213204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21024 (or 21022 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 819213204 is about 28621.9007754551. The cubic root of 819213204 is about 935.6907033795.

The spelling of 819213204 in words is "eight hundred nineteen million, two hundred thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 193 204 386 579 772 1158 2316 3281 6562 9843 13124 19686 20807 39372 41614 62421 83228 124842 249684 353719 707438 1061157 1414876 2122314 4015751 4244628 8031502 12047253 16063004 24094506 48189012 68267767 136535534 204803301 273071068 409606602 819213204