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221034330 = 232511220297
BaseRepresentation
bin11010010110010…
…11011101011010
3120101220201002200
431023023131122
5423041044310
633533311030
75322521646
oct1513133532
9511821080
10221034330
1110384a400
1262035476
1336a4045a
14214d9c26
15146119c0
hexd2cb75a

221034330 has 72 divisors (see below), whose sum is σ = 631714356. Its totient is φ = 53581440.

The previous prime is 221034329. The next prime is 221034349. The reversal of 221034330 is 33430122.

It can be written as a sum of positive squares in 2 ways, for example, as 219543489 + 1490841 = 14817^2 + 1221^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 742 + ... + 21038.

Almost surely, 2221034330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221034330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315857178).

221034330 is an abundant number, since it is smaller than the sum of its proper divisors (410680026).

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

221034330 is a wasteful number, since it uses less digits than its factorization.

221034330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20332 (or 20318 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 221034330 is about 14867.2233453325. The cubic root of 221034330 is about 604.6256637487.

Adding to 221034330 its reverse (33430122), we get a palindrome (254464452).

The spelling of 221034330 in words is "two hundred twenty-one million, thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 20297 40594 60891 101485 121782 182673 202970 223267 304455 365346 446534 608910 669801 913365 1116335 1339602 1826730 2009403 2232670 2455937 3349005 4018806 4911874 6698010 7367811 10047015 12279685 14735622 20094030 22103433 24559370 36839055 44206866 73678110 110517165 221034330