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1225674240 = 2935723257
BaseRepresentation
bin100100100001110…
…0100111000000000
310011102022200222020
41021003210320000
510002233033430
6321342241440
742242026200
oct11103447000
93142280866
101225674240
1157995221a
122a2586280
13166c1353b
14b8ad4400
157290cb10
hex490e4e00

1225674240 has 240 divisors, whose sum is σ = 4559453712. Its totient is φ = 280068096.

The previous prime is 1225674227. The next prime is 1225674253. The reversal of 1225674240 is 424765221.

It is an interprime number because it is at equal distance from previous prime (1225674227) and next prime (1225674253).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374692 + ... + 377948.

Almost surely, 21225674240 is an apocalyptic number.

1225674240 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 1225674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279726856).

1225674240 is an abundant number, since it is smaller than the sum of its proper divisors (3333779472).

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

1225674240 is an equidigital number, since it uses as much as digits as its factorization.

1225674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 1225674240 is about 35009.6306750014. The cubic root of 1225674240 is about 1070.1837515967.

The spelling of 1225674240 in words is "one billion, two hundred twenty-five million, six hundred seventy-four thousand, two hundred forty".