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213276330 = 232519191653
BaseRepresentation
bin11001011011001…
…01011010101010
3112212022120010100
430231211122222
5414044320310
633055130230
75166550611
oct1455453252
9485276110
10213276330
11aa430733
125b513976
1335255217
142047a878
1513accec0
hexcb656aa

213276330 has 96 divisors (see below), whose sum is σ = 587658240. Its totient is φ = 53516160.

The previous prime is 213276281. The next prime is 213276331. The reversal of 213276330 is 33672312.

213276330 is a `hidden beast` number, since 2 + 1 + 3 + 27 + 633 + 0 = 666.

213276330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213276294 and 213276303.

It is not an unprimeable number, because it can be changed into a prime (213276331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326284 + ... + 326936.

It is an arithmetic number, because the mean of its divisors is an integer number (6121440).

Almost surely, 2213276330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213276330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293829120).

213276330 is an abundant number, since it is smaller than the sum of its proper divisors (374381910).

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

213276330 is a wasteful number, since it uses less digits than its factorization.

213276330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 213276330 is about 14603.9833607136. The cubic root of 213276330 is about 597.4674083400.

The spelling of 213276330 in words is "two hundred thirteen million, two hundred seventy-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 191 285 342 382 570 573 653 855 955 1146 1306 1710 1719 1910 1959 2865 3265 3438 3629 3918 5730 5877 6530 7258 8595 9795 10887 11754 12407 17190 18145 19590 21774 24814 29385 32661 36290 37221 54435 58770 62035 65322 74442 108870 111663 124070 124723 163305 186105 223326 249446 326610 372210 374169 558315 623615 748338 1116630 1122507 1247230 1870845 2245014 2369737 3741690 4739474 5612535 7109211 11225070 11848685 14218422 21327633 23697370 35546055 42655266 71092110 106638165 213276330