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225025120 = 2553738011
BaseRepresentation
bin11010110100110…
…01110001100000
3120200102110102201
431122121301200
5430101300440
634155022544
75401452625
oct1532316140
9520373381
10225025120
11106025781
126343aa54
1337809a78
1421c5834c
1514b4e19a
hexd699c60

225025120 has 48 divisors (see below), whose sum is σ = 546004368. Its totient is φ = 87575040.

The previous prime is 225025111. The next prime is 225025127. The reversal of 225025120 is 21520522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225025127) by changing a digit.

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, 13086 + ... + 24925.

It is an arithmetic number, because the mean of its divisors is an integer number (11375091).

Almost surely, 2225025120 is an apocalyptic number.

225025120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225025120 is an abundant number, since it is smaller than the sum of its proper divisors (320979248).

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

225025120 is a wasteful number, since it uses less digits than its factorization.

225025120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38063 (or 38055 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 225025120 is about 15000.8373099637. The cubic root of 225025120 is about 608.2428335171.

Adding to 225025120 its reverse (21520522), we get a palindrome (246545642).

The spelling of 225025120 in words is "two hundred twenty-five million, twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 38011 76022 152044 190055 304088 380110 608176 760220 1216352 1406407 1520440 2812814 3040880 5625628 6081760 7032035 11251256 14064070 22502512 28128140 45005024 56256280 112512560 225025120