Search a number
-
+
225163552504 = 231110144835651
BaseRepresentation
bin1101000110110011001…
…0110010011011111000
3210112012000221121011111
43101230302302123320
512142113332140004
6251234432210104
722160522421562
oct3215462623370
9715160847144
10225163552504
1187544a56690
123777a999934
13183046bb107
14ac80080332
155ccc6a1a04
hex346ccb26f8

225163552504 has 64 divisors (see below), whose sum is σ = 465307908480. Its totient is φ = 101293200000.

The previous prime is 225163552477. The next prime is 225163552507. The reversal of 225163552504 is 405255361522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225163552507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39842079 + ... + 39847729.

It is an arithmetic number, because the mean of its divisors is an integer number (7270436070).

Almost surely, 2225163552504 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 225163552504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232653954240).

225163552504 is an abundant number, since it is smaller than the sum of its proper divisors (240144355976).

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

225163552504 is a wasteful number, since it uses less digits than its factorization.

225163552504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10252 (or 10248 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 225163552504 in words is "two hundred twenty-five billion, one hundred sixty-three million, five hundred fifty-two thousand, five hundred four".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 4444 4483 5651 8888 8966 11302 17932 22604 35864 45208 49313 62161 98626 124322 197252 248644 394504 452783 497288 570751 905566 1141502 1811132 2283004 3622264 4566008 4980613 6278261 9961226 12556522 19922452 25113044 25333433 39844904 50226088 50666866 101333732 202667464 278667763 557335526 1114671052 2229342104 2558676733 5117353466 10234706932 20469413864 28145444063 56290888126 112581776252 225163552504