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213575796 = 223275315991
BaseRepresentation
bin11001011101011…
…10100001110100
3112212212202220200
430232232201310
5414133411141
633105400500
75202235650
oct1456564164
9485782820
10213575796
11aa615725
125b639130
133532b615
1420517a60
1513b3bab6
hexcbae874

213575796 has 72 divisors (see below), whose sum is σ = 628677504. Its totient is φ = 59866560.

The previous prime is 213575779. The next prime is 213575809. The reversal of 213575796 is 697575312.

213575796 is a `hidden beast` number, since 2 + 1 + 3 + 575 + 79 + 6 = 666.

It is a super-2 number, since 2×2135757962 = 91229241274067232, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 5361 + ... + 21351.

It is an arithmetic number, because the mean of its divisors is an integer number (8731632).

Almost surely, 2213575796 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 213575796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314338752).

213575796 is an abundant number, since it is smaller than the sum of its proper divisors (415101708).

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

213575796 is a wasteful number, since it uses less digits than its factorization.

213575796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16061 (or 16056 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 213575796 is about 14614.2326517679. The cubic root of 213575796 is about 597.7469166157.

The spelling of 213575796 in words is "two hundred thirteen million, five hundred seventy-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1908 2226 3339 4452 6678 13356 15991 31982 47973 63964 95946 111937 143919 191892 223874 287838 335811 447748 575676 671622 847523 1007433 1343244 1695046 2014866 2542569 3390092 4029732 5085138 5932661 7627707 10170276 11865322 15255414 17797983 23730644 30510828 35595966 53393949 71191932 106787898 213575796