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222420000 = 2535411337
BaseRepresentation
bin11010100000111…
…01110000100000
3120111112002212210
431100131300200
5423414420000
634023122120
75340352545
oct1520356040
9514462783
10222420000
11104606490
12625a3340
133710708a
142177abcc
15147d7350
hexd41dc20

222420000 has 240 divisors, whose sum is σ = 798269472. Its totient is φ = 53760000.

The previous prime is 222419999. The next prime is 222420001. The reversal of 222420000 is 24222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (222419999) and next prime (222420001).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (222420001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 659832 + ... + 660168.

Almost surely, 2222420000 is an apocalyptic number.

222420000 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 222420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399134736).

222420000 is an abundant number, since it is smaller than the sum of its proper divisors (575849472).

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

222420000 is a wasteful number, since it uses less digits than its factorization.

222420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 222420000 is about 14913.7520429971. The cubic root of 222420000 is about 605.8865040312.

Adding to 222420000 its reverse (24222), we get a palindrome (222444222).

The spelling of 222420000 in words is "two hundred twenty-two million, four hundred twenty thousand".