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1222224120 = 2333513263331
BaseRepresentation
bin100100011011001…
…1010100011111000
310011011211102022000
41020312122203320
510000342132440
6321140301000
742200506425
oct11066324370
93134742260
101222224120
11577a06087
122a13a1760
131662a6050
14b8476d4c
157247a730
hex48d9a8f8

1222224120 has 256 divisors, whose sum is σ = 4417459200. Its totient is φ = 298805760.

The previous prime is 1222224109. The next prime is 1222224139. The reversal of 1222224120 is 214222221.

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 = 1222224093 and 1222224102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3692355 + ... + 3692685.

It is an arithmetic number, because the mean of its divisors is an integer number (17255700).

Almost surely, 21222224120 is an apocalyptic number.

1222224120 is a gapful number since it is divisible by the number (10) 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 1222224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208729600).

1222224120 is an abundant number, since it is smaller than the sum of its proper divisors (3195235080).

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

1222224120 is a wasteful number, since it uses less digits than its factorization.

1222224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1222224120 is about 34960.3220808962. The cubic root of 1222224120 is about 1069.1786633790.

Adding to 1222224120 its reverse (214222221), we get a palindrome (1436446341).

The spelling of 1222224120 in words is "one billion, two hundred twenty-two million, two hundred twenty-four thousand, one hundred twenty".