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216034830 = 23351172739
BaseRepresentation
bin11001110000001…
…10111000001110
3120001111201002000
430320012320032
5420301103310
633234213130
75232160104
oct1470067016
9501451060
10216034830
11100a45190
12604241a6
13359ac97b
1420997c74
1513e754c0
hexce06e0e

216034830 has 64 divisors (see below), whose sum is σ = 628473600. Its totient is φ = 52371360.

The previous prime is 216034801. The next prime is 216034831. The reversal of 216034830 is 38430612.

It is a happy number.

216034830 is a `hidden beast` number, since 21 + 603 + 4 + 8 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 216034794 and 216034803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216034831) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 33400 + ... + 39339.

It is an arithmetic number, because the mean of its divisors is an integer number (9819900).

Almost surely, 2216034830 is an apocalyptic number.

216034830 is an abundant number, since it is smaller than the sum of its proper divisors (412438770).

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

216034830 is a wasteful number, since it uses less digits than its factorization.

216034830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72766 (or 72760 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 216034830 is about 14698.1233495981. The cubic root of 216034830 is about 600.0322482667.

The spelling of 216034830 in words is "two hundred sixteen million, thirty-four thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 72739 145478 218217 363695 436434 654651 727390 800129 1091085 1309302 1600258 1963953 2182170 2400387 3273255 3927906 4000645 4800774 6546510 7201161 8001290 9819765 12001935 14402322 19639530 21603483 24003870 36005805 43206966 72011610 108017415 216034830