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1122925440 = 27357136427
BaseRepresentation
bin100001011101110…
…0111101110000000
32220020222112010010
41002323213232000
54244432103230
6303232104520
736553465050
oct10273475600
92806875103
101122925440
1152695355a
12274095140
1314b849830
14a91c9560
15688b39b0
hex42ee7b80

1122925440 has 256 divisors, whose sum is σ = 4406008320. Its totient is φ = 236888064.

The previous prime is 1122925439. The next prime is 1122925459. The reversal of 1122925440 is 445292211.

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 = 1122925398 and 1122925407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171507 + ... + 177933.

It is an arithmetic number, because the mean of its divisors is an integer number (17210970).

Almost surely, 21122925440 is an apocalyptic number.

1122925440 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 1122925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203004160).

1122925440 is an abundant number, since it is smaller than the sum of its proper divisors (3283082880).

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

1122925440 is a wasteful number, since it uses less digits than its factorization.

1122925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6469 (or 6457 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1122925440 is about 33510.0796776134. The cubic root of 1122925440 is about 1039.4022205720.

The spelling of 1122925440 in words is "one billion, one hundred twenty-two million, nine hundred twenty-five thousand, four hundred forty".