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222425040 = 24351575903
BaseRepresentation
bin11010100000111…
…10111111010000
3120111112100210110
431100132333100
5423420100130
634023201320
75340403335
oct1520367720
9514470713
10222425040
1110460a252
12625a6240
1337109466
142177c98c
15147d8ab0
hexd41efd0

222425040 has 80 divisors (see below), whose sum is σ = 694027008. Its totient is φ = 58925568.

The previous prime is 222425011. The next prime is 222425083. The reversal of 222425040 is 40524222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 222424998 and 222425016.

It is a congruent number.

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, 34729 + ... + 40631.

Almost surely, 2222425040 is an apocalyptic number.

222425040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222425040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347013504).

222425040 is an abundant number, since it is smaller than the sum of its proper divisors (471601968).

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

222425040 is a wasteful number, since it uses less digits than its factorization.

222425040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6076 (or 6070 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 222425040 is about 14913.9210136034. The cubic root of 222425040 is about 605.8910804256.

Adding to 222425040 its reverse (40524222), we get a palindrome (262949262).

The spelling of 222425040 in words is "two hundred twenty-two million, four hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 157 240 314 471 628 785 942 1256 1570 1884 2355 2512 3140 3768 4710 5903 6280 7536 9420 11806 12560 17709 18840 23612 29515 35418 37680 47224 59030 70836 88545 94448 118060 141672 177090 236120 283344 354180 472240 708360 926771 1416720 1853542 2780313 3707084 4633855 5560626 7414168 9267710 11121252 13901565 14828336 18535420 22242504 27803130 37070840 44485008 55606260 74141680 111212520 222425040