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222213420 = 2232511138997
BaseRepresentation
bin11010011111010…
…11010100101100
3120111010121111200
431033223110230
5423341312140
634014445500
75335532352
oct1517532454
9514117450
10222213420
11104485260
1262503890
1337064040
14217257d2
1514796030
hexd3eb52c

222213420 has 288 divisors, whose sum is σ = 809040960. Its totient is φ = 48660480.

The previous prime is 222213413. The next prime is 222213437. The reversal of 222213420 is 24312222.

222213420 is a `hidden beast` number, since 22 + 221 + 3 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222213393 and 222213402.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2290812 + ... + 2290908.

It is an arithmetic number, because the mean of its divisors is an integer number (2809170).

Almost surely, 2222213420 is an apocalyptic number.

222213420 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 222213420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404520480).

222213420 is an abundant number, since it is smaller than the sum of its proper divisors (586827540).

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

222213420 is a wasteful number, since it uses less digits than its factorization.

222213420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 222213420 is about 14906.8246115663. The cubic root of 222213420 is about 605.6988668222.

Adding to 222213420 its reverse (24312222), we get a palindrome (246525642).

The spelling of 222213420 in words is "two hundred twenty-two million, two hundred thirteen thousand, four hundred twenty".