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222420040 = 23531181991
BaseRepresentation
bin11010100000111…
…01110001001000
3120111112002221021
431100131301020
5423414420130
634023122224
75340352633
oct1520356110
9514462837
10222420040
11104606517
12625a3374
13371070bb
142177ac1a
15147d737a
hexd41dc48

222420040 has 64 divisors (see below), whose sum is σ = 519966720. Its totient is φ = 85536000.

The previous prime is 222420031. The next prime is 222420043. The reversal of 222420040 is 40024222.

It is a junction number, because it is equal to n+sod(n) for n = 222419996 and 222420023.

It is not an unprimeable number, because it can be changed into a prime (222420043) 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, 223945 + ... + 224935.

It is an arithmetic number, because the mean of its divisors is an integer number (8124480).

Almost surely, 2222420040 is an apocalyptic number.

222420040 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 222420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259983360).

222420040 is an abundant number, since it is smaller than the sum of its proper divisors (297546680).

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

222420040 is a wasteful number, since it uses less digits than its factorization.

222420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 222420040 is about 14913.7533840412. The cubic root of 222420040 is about 605.8865403521.

Adding to 222420040 its reverse (40024222), we get a palindrome (262444262).

The spelling of 222420040 in words is "two hundred twenty-two million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 181 248 310 362 620 724 905 991 1240 1448 1810 1982 3620 3964 4955 5611 7240 7928 9910 11222 19820 22444 28055 30721 39640 44888 56110 61442 112220 122884 153605 179371 224440 245768 307210 358742 614420 717484 896855 1228840 1434968 1793710 3587420 5560501 7174840 11121002 22242004 27802505 44484008 55605010 111210020 222420040