Search a number
-
+
225404520 = 233511170761
BaseRepresentation
bin11010110111101…
…10011001101000
3120201010201212120
431123312121220
5430200421040
634211111240
75404623015
oct1533663150
9521121776
10225404520
11106264830
12635a2520
1337910673
1421d1670c
1514bc67d0
hexd6f6668

225404520 has 64 divisors (see below), whose sum is σ = 737691840. Its totient is φ = 54643200.

The previous prime is 225404489. The next prime is 225404551. The reversal of 225404520 is 25404522.

It is a happy number.

225404520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225404489) and next prime (225404551).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84061 + ... + 86700.

It is an arithmetic number, because the mean of its divisors is an integer number (11526435).

Almost surely, 2225404520 is an apocalyptic number.

225404520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225404520 is an abundant number, since it is smaller than the sum of its proper divisors (512287320).

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

225404520 is a wasteful number, since it uses less digits than its factorization.

225404520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170786 (or 170782 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 225404520 is about 15013.4779448334. The cubic root of 225404520 is about 608.5844809423.

The spelling of 225404520 in words is "two hundred twenty-five million, four hundred four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 170761 341522 512283 683044 853805 1024566 1366088 1707610 1878371 2049132 2561415 3415220 3756742 4098264 5122830 5635113 6830440 7513484 9391855 10245660 11270226 15026968 18783710 20491320 22540452 28175565 37567420 45080904 56351130 75134840 112702260 225404520