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225500440 = 23511246591
BaseRepresentation
bin11010111000011…
…01110100011000
3120201022121110011
431130031310120
5430212003230
634213131304
75405502454
oct1534156430
9521277404
10225500440
1110631a900
1263629b34
1337945219
1421d3d664
1514be4e2a
hexd70dd18

225500440 has 48 divisors (see below), whose sum is σ = 557706240. Its totient is φ = 81998400.

The previous prime is 225500423. The next prime is 225500449. The reversal of 225500440 is 44005522.

225500440 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 (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225500449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18456 + ... + 28135.

It is an arithmetic number, because the mean of its divisors is an integer number (11618880).

Almost surely, 2225500440 is an apocalyptic number.

225500440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225500440 is an abundant number, since it is smaller than the sum of its proper divisors (332205800).

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

225500440 is a wasteful number, since it uses less digits than its factorization.

225500440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46624 (or 46609 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 225500440 is about 15016.6720680715. The cubic root of 225500440 is about 608.6707956043.

Adding to 225500440 its reverse (44005522), we get a palindrome (269505962).

The spelling of 225500440 in words is "two hundred twenty-five million, five hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 46591 93182 186364 232955 372728 465910 512501 931820 1025002 1863640 2050004 2562505 4100008 5125010 5637511 10250020 11275022 20500040 22550044 28187555 45100088 56375110 112750220 225500440