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214815630 = 23523433719
BaseRepresentation
bin11001100110111…
…01001110001110
3112222012202122110
430303131032032
5414443100010
633152124450
75215621431
oct1463351616
9488182573
10214815630
11100292187
125bb36726
1335673a53
142075b818
1513cd4120
hexccdd38e

214815630 has 64 divisors (see below), whose sum is σ = 539965440. Its totient is φ = 54590976.

The previous prime is 214815617. The next prime is 214815631. The reversal of 214815630 is 36518412.

It is a super-2 number, since 2×2148156302 = 92291509784593800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214815631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298411 + ... + 299129.

It is an arithmetic number, because the mean of its divisors is an integer number (8436960).

Almost surely, 2214815630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214815630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269982720).

214815630 is an abundant number, since it is smaller than the sum of its proper divisors (325149810).

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

214815630 is a wasteful number, since it uses less digits than its factorization.

214815630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 214815630 is about 14656.5899853956. The cubic root of 214815630 is about 598.9013506216.

The spelling of 214815630 in words is "two hundred fourteen million, eight hundred fifteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 433 690 719 866 1299 1438 2157 2165 2598 3595 4314 4330 6495 7190 9959 10785 12990 16537 19918 21570 29877 33074 49611 49795 59754 82685 99222 99590 149385 165370 248055 298770 311327 496110 622654 933981 1556635 1867962 3113270 4669905 7160521 9339810 14321042 21481563 35802605 42963126 71605210 107407815 214815630