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1225234080 = 253357311307
BaseRepresentation
bin100100100000111…
…1001011010100000
310011101111100012000
41021001321122200
510002124442310
6321325004000
742235214010
oct11101713240
93141440160
101225234080
11579681554
122a23b3600
13166abb0a5
14b8a1bc40
15728724c0
hex490796a0

1225234080 has 384 divisors, whose sum is σ = 5062901760. Its totient is φ = 270812160.

The previous prime is 1225234039. The next prime is 1225234091. The reversal of 1225234080 is 804325221.

1225234080 is a `hidden beast` number, since 1 + 2 + 252 + 3 + 408 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 936787 + ... + 938093.

It is an arithmetic number, because the mean of its divisors is an integer number (13184640).

Almost surely, 21225234080 is an apocalyptic number.

1225234080 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 1225234080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531450880).

1225234080 is an abundant number, since it is smaller than the sum of its proper divisors (3837667680).

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

1225234080 is a wasteful number, since it uses less digits than its factorization.

1225234080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1225234080 is about 35003.3438402676. The cubic root of 1225234080 is about 1070.0556293318.

The spelling of 1225234080 in words is "one billion, two hundred twenty-five million, two hundred thirty-four thousand, eighty".