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213267096 = 233271922271
BaseRepresentation
bin11001011011000…
…11001010011000
3112212022002110100
430231203022120
5414044021341
633055015400
75166511650
oct1455431230
9485262410
10213267096
11aa4247a9
125b50a560
1335250c63
1420477360
1513aca3b6
hexcb63298

213267096 has 96 divisors (see below), whose sum is σ = 694886400. Its totient is φ = 57723840.

The previous prime is 213267053. The next prime is 213267101. The reversal of 213267096 is 690762312.

213267096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 213267096.

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 23 ways as a sum of consecutive naturals, for example, 1560 + ... + 20711.

It is an arithmetic number, because the mean of its divisors is an integer number (7238400).

Almost surely, 2213267096 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 213267096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347443200).

213267096 is an abundant number, since it is smaller than the sum of its proper divisors (481619304).

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

213267096 is a wasteful number, since it uses less digits than its factorization.

213267096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22309 (or 22302 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 213267096 is about 14603.6672106701. The cubic root of 213267096 is about 597.4587855771.

The spelling of 213267096 in words is "two hundred thirteen million, two hundred sixty-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 9576 22271 44542 66813 89084 133626 155897 178168 200439 267252 311794 400878 423149 467691 534504 623588 801756 846298 935382 1247176 1269447 1403073 1603512 1692596 1870764 2538894 2806146 2962043 3385192 3741528 3808341 5077788 5612292 5924086 7616682 8886129 10155576 11224584 11848172 15233364 17772258 23696344 26658387 30466728 35544516 53316774 71089032 106633548 213267096