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222242420 = 225101269409
BaseRepresentation
bin11010011111100…
…10011001110100
3120111012002021202
431033302121310
5423343224140
634015232032
75336013041
oct1517623164
9514162252
10222242420
111044a5024
1262518618
13370742ba
14217321c8
151479e915
hexd3f2674

222242420 has 48 divisors (see below), whose sum is σ = 474238800. Its totient is φ = 87475200.

The previous prime is 222242393. The next prime is 222242429. The reversal of 222242420 is 24242222.

222242420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9024016 + 213218404 = 3004^2 + 14602^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222242392 and 222242401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222242429) 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, 543176 + ... + 543584.

It is an arithmetic number, because the mean of its divisors is an integer number (9879975).

Almost surely, 2222242420 is an apocalyptic number.

222242420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222242420 is an abundant number, since it is smaller than the sum of its proper divisors (251996380).

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

222242420 is a wasteful number, since it uses less digits than its factorization.

222242420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 222242420 is about 14907.7972886674. The cubic root of 222242420 is about 605.7252146204.

Adding to 222242420 its reverse (24242222), we get a palindrome (246484642).

The spelling of 222242420 in words is "two hundred twenty-two million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 269 404 409 505 538 818 1010 1076 1345 1636 2020 2045 2690 4090 5380 8180 27169 41309 54338 82618 108676 110021 135845 165236 206545 220042 271690 413090 440084 543380 550105 826180 1100210 2200420 11112121 22224242 44448484 55560605 111121210 222242420