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225060396 = 223111924723
BaseRepresentation
bin11010110101000…
…10011000101100
3120200111020211020
431122202120230
5430103413041
634155454140
75401660521
oct1532423054
9520436736
10225060396
1110604a230
1263457350
133781cb42
1421c67148
1514b59866
hexd6a262c

225060396 has 72 divisors (see below), whose sum is σ = 604747584. Its totient is φ = 64596960.

The previous prime is 225060373. The next prime is 225060401. The reversal of 225060396 is 693060522.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 23 ways as a sum of consecutive naturals, for example, 45291 + ... + 50013.

It is an arithmetic number, because the mean of its divisors is an integer number (8399272).

Almost surely, 2225060396 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 225060396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302373792).

225060396 is an abundant number, since it is smaller than the sum of its proper divisors (379687188).

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

225060396 is a wasteful number, since it uses less digits than its factorization.

225060396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4779 (or 4758 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 225060396 is about 15002.0130649190. The cubic root of 225060396 is about 608.2746155290.

It can be divided in two parts, 225060 and 396, that added together give a triangular number (225456 = T671).

The spelling of 225060396 in words is "two hundred twenty-five million, sixty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 361 418 627 722 836 1083 1254 1444 2166 2508 3971 4332 4723 7942 9446 11913 14169 15884 18892 23826 28338 47652 51953 56676 89737 103906 155859 179474 207812 269211 311718 358948 538422 623436 987107 1076844 1705003 1974214 2961321 3410006 3948428 5115009 5922642 6820012 10230018 11845284 18755033 20460036 37510066 56265099 75020132 112530198 225060396