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216723330 = 23351037793
BaseRepresentation
bin11001110101011…
…10111110000010
3120002210200112000
430322232332002
5420440121310
633301044430
75241055305
oct1472567602
9502720460
10216723330
1110137549a
12606b6716
1335b91175
1420ad6b3c
151405e4c0
hexceaef82

216723330 has 64 divisors (see below), whose sum is σ = 583614720. Its totient is φ = 57224448.

The previous prime is 216723323. The next prime is 216723337. The reversal of 216723330 is 33327612.

It is an interprime number because it is at equal distance from previous prime (216723323) and next prime (216723337).

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 = 216723294 and 216723303.

It is not an unprimeable number, because it can be changed into a prime (216723337) 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, 23914 + ... + 31706.

It is an arithmetic number, because the mean of its divisors is an integer number (9118980).

Almost surely, 2216723330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216723330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291807360).

216723330 is an abundant number, since it is smaller than the sum of its proper divisors (366891390).

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

216723330 is a wasteful number, since it uses less digits than its factorization.

216723330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7912 (or 7906 counting only the distinct ones).

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

The square root of 216723330 is about 14721.5260757844. The cubic root of 216723330 is about 600.6690037793.

The spelling of 216723330 in words is "two hundred sixteen million, seven hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 103 135 206 270 309 515 618 927 1030 1545 1854 2781 3090 4635 5562 7793 9270 13905 15586 23379 27810 38965 46758 70137 77930 116895 140274 210411 233790 350685 420822 701370 802679 1052055 1605358 2104110 2408037 4013395 4816074 7224111 8026790 12040185 14448222 21672333 24080370 36120555 43344666 72241110 108361665 216723330