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1222083840 = 283523101137
BaseRepresentation
bin100100011010111…
…1000010100000000
310011011120021212110
41020311320110000
510000323140330
6321133255320
742166353435
oct11065702400
93134507773
101222083840
1157791a74a
122a1334540
13166257243
14b843bb8c
157244ddb0
hex48d78500

1222083840 has 288 divisors, whose sum is σ = 4143073536. Its totient is φ = 306380800.

The previous prime is 1222083827. The next prime is 1222083851. The reversal of 1222083840 is 483802221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1222083798 and 1222083807.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8920252 + ... + 8920388.

It is an arithmetic number, because the mean of its divisors is an integer number (14385672).

Almost surely, 21222083840 is an apocalyptic number.

1222083840 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 1222083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071536768).

1222083840 is an abundant number, since it is smaller than the sum of its proper divisors (2920989696).

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

1222083840 is a wasteful number, since it uses less digits than its factorization.

1222083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 1222083840 is about 34958.3157489030. The cubic root of 1222083840 is about 1069.1377570458.

The spelling of 1222083840 in words is "one billion, two hundred twenty-two million, eighty-three thousand, eight hundred forty".