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212225504 = 2531349613
BaseRepresentation
bin11001010011001…
…00110111100000
3112210100011122212
430221210313200
5413312204004
633020421252
75154613151
oct1451446740
9483304585
10212225504
11a9883187
125b0a7828
1334c77b2a
1420285928
151397196e
hexca64de0

212225504 has 48 divisors (see below), whose sum is σ = 433238400. Its totient is φ = 102228480.

The previous prime is 212225449. The next prime is 212225513. The reversal of 212225504 is 405522212.

It is a self number, because there is not a number n which added to its sum of digits gives 212225504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345902 + ... + 346514.

It is an arithmetic number, because the mean of its divisors is an integer number (9025800).

Almost surely, 2212225504 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 212225504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216619200).

212225504 is an abundant number, since it is smaller than the sum of its proper divisors (221012896).

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

212225504 is a wasteful number, since it uses less digits than its factorization.

212225504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 212225504 is about 14567.9615595319. The cubic root of 212225504 is about 596.4845390813.

Adding to 212225504 its reverse (405522212), we get a palindrome (617747716).

The spelling of 212225504 in words is "two hundred twelve million, two hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 31 32 62 124 248 349 496 613 698 992 1226 1396 2452 2792 4904 5584 9808 10819 11168 19003 19616 21638 38006 43276 76012 86552 152024 173104 213937 304048 346208 427874 608096 855748 1711496 3422992 6632047 6845984 13264094 26528188 53056376 106112752 212225504