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221034204 = 223317131919
BaseRepresentation
bin11010010110010…
…11011011011100
3120101220200221000
431023023123130
5423041043304
633533310300
75322521406
oct1513133334
9511820830
10221034204
1110384a2a6
1262035390
1336a40391
14214d9b76
1514611939
hexd2cb6dc

221034204 has 96 divisors (see below), whose sum is σ = 612057600. Its totient is φ = 68739840.

The previous prime is 221034137. The next prime is 221034211. The reversal of 221034204 is 402430122.

It is a super-2 number, since 2×2210342042 = 97712238675827232, which contains 22 as substring.

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

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, 240057 + ... + 240975.

It is an arithmetic number, because the mean of its divisors is an integer number (6375600).

Almost surely, 2221034204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221034204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306028800).

221034204 is an abundant number, since it is smaller than the sum of its proper divisors (391023396).

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

221034204 is a wasteful number, since it uses less digits than its factorization.

221034204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 221034204 is about 14867.2191078224. The cubic root of 221034204 is about 604.6255488602.

Adding to 221034204 its reverse (402430122), we get a palindrome (623464326).

The spelling of 221034204 in words is "two hundred twenty-one million, thirty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 131 153 204 262 306 393 459 524 612 786 918 919 1179 1572 1836 1838 2227 2358 2757 3537 3676 4454 4716 5514 6681 7074 8271 8908 11028 13362 14148 15623 16542 20043 24813 26724 31246 33084 40086 46869 49626 60129 62492 80172 93738 99252 120258 120389 140607 187476 240516 240778 281214 361167 421821 481556 562428 722334 843642 1083501 1444668 1687284 2046613 2167002 3250503 4093226 4334004 6139839 6501006 8186452 12279678 13002012 18419517 24559356 36839034 55258551 73678068 110517102 221034204