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216103830 = 23517491863
BaseRepresentation
bin11001110000101…
…11101110010110
3120001122012201120
430320113232112
5420310310310
633235504410
75232565215
oct1470275626
9501565646
10216103830
11100a92008
1260458106
1335a051b7
14209b507c
1513e8ab70
hexce17b96

216103830 has 64 divisors (see below), whose sum is σ = 550914048. Its totient is φ = 54064640.

The previous prime is 216103819. The next prime is 216103841. The reversal of 216103830 is 38301612.

216103830 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216103819) and next prime (216103841).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 216103830.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249979 + ... + 250841.

It is an arithmetic number, because the mean of its divisors is an integer number (8608032).

Almost surely, 2216103830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216103830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275457024).

216103830 is an abundant number, since it is smaller than the sum of its proper divisors (334810218).

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

216103830 is a wasteful number, since it uses less digits than its factorization.

216103830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 216103830 is about 14700.4704006368. The cubic root of 216103830 is about 600.0961234885.

The spelling of 216103830 in words is "two hundred sixteen million, one hundred three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 491 510 863 982 1473 1726 2455 2589 2946 4315 4910 5178 7365 8347 8630 12945 14671 14730 16694 25041 25890 29342 41735 44013 50082 73355 83470 88026 125205 146710 220065 250410 423733 440130 847466 1271199 2118665 2542398 4237330 6355995 7203461 12711990 14406922 21610383 36017305 43220766 72034610 108051915 216103830