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1225096704 = 29331317401
BaseRepresentation
bin100100100000101…
…0111111000000000
310011101020100202000
41021001113320000
510002111043304
6321322024000
742234102336
oct11101277000
93141210660
101225096704
11579598317
122a2348000
13166a706c0
14b89c3b56
1572846939
hex49057e00

1225096704 has 320 divisors, whose sum is σ = 4145359680. Its totient is φ = 353894400.

The previous prime is 1225096699. The next prime is 1225096723. The reversal of 1225096704 is 4076905221.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3054904 + ... + 3055304.

It is an arithmetic number, because the mean of its divisors is an integer number (12954249).

Almost surely, 21225096704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225096704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072679840).

1225096704 is an abundant number, since it is smaller than the sum of its proper divisors (2920262976).

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

1225096704 is a wasteful number, since it uses less digits than its factorization.

1225096704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1225096704 is about 35001.3814584510. The cubic root of 1225096704 is about 1070.0156354893.

The spelling of 1225096704 in words is "one billion, two hundred twenty-five million, ninety-six thousand, seven hundred four".