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393099228 = 2232171394621
BaseRepresentation
bin10111011011100…
…011011111011100
31000101200111202200
4113123203133130
51301113133403
6103001251500
712512200614
oct2733433734
91011614680
10393099228
111919922a5
12ab793b90
13635965c2
143a2c9a44
152479dca3
hex176e37dc

393099228 has 72 divisors (see below), whose sum is σ = 1059917040. Its totient is φ = 122411520.

The previous prime is 393099209. The next prime is 393099229. The reversal of 393099228 is 822990393.

It is a super-3 number, since 3×3930992283 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393099229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82758 + ... + 87378.

It is an arithmetic number, because the mean of its divisors is an integer number (14721070).

Almost surely, 2393099228 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 393099228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529958520).

393099228 is an abundant number, since it is smaller than the sum of its proper divisors (666817812).

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

393099228 is a wasteful number, since it uses less digits than its factorization.

393099228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4787 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 393099228 is about 19826.7301388807. The cubic root of 393099228 is about 732.5445871278.

The spelling of 393099228 in words is "three hundred ninety-three million, ninety-nine thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 139 153 204 278 306 417 556 612 834 1251 1668 2363 2502 4621 4726 5004 7089 9242 9452 13863 14178 18484 21267 27726 28356 41589 42534 55452 78557 83178 85068 157114 166356 235671 314228 471342 642319 707013 942684 1284638 1414026 1926957 2569276 2828052 3853914 5780871 7707828 10919423 11561742 21838846 23123484 32758269 43677692 65516538 98274807 131033076 196549614 393099228