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225254040 = 233511170647
BaseRepresentation
bin11010110110100…
…01101010011000
3120200212002110020
431123101222120
5430131112130
634203550440
75403425214
oct1533215230
9520762406
10225254040
11106171770
126352b420
133788a01b
1421cb7944
1514b96e10
hexd6d1a98

225254040 has 64 divisors (see below), whose sum is σ = 737199360. Its totient is φ = 54606720.

The previous prime is 225254021. The next prime is 225254047. The reversal of 225254040 is 40452522.

It is a happy number.

225254040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 225254040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225254047) 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, 84004 + ... + 86643.

It is an arithmetic number, because the mean of its divisors is an integer number (11518740).

Almost surely, 2225254040 is an apocalyptic number.

225254040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225254040 is an abundant number, since it is smaller than the sum of its proper divisors (511945320).

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

225254040 is a wasteful number, since it uses less digits than its factorization.

225254040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170672 (or 170668 counting only the distinct ones).

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

The square root of 225254040 is about 15008.4656111143. The cubic root of 225254040 is about 608.4490205120.

It can be divided in two parts, 22525 and 4040, that added together give a triangular number (26565 = T230).

The spelling of 225254040 in words is "two hundred twenty-five million, two hundred fifty-four thousand, forty".

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 170647 341294 511941 682588 853235 1023882 1365176 1706470 1877117 2047764 2559705 3412940 3754234 4095528 5119410 5631351 6825880 7508468 9385585 10238820 11262702 15016936 18771170 20477640 22525404 28156755 37542340 45050808 56313510 75084680 112627020 225254040