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1301225256 = 233316736073
BaseRepresentation
bin100110110001111…
…0001111100101000
310100200111002111000
41031203301330220
510131103202011
6333041435000
744150142432
oct11543617450
93320432430
101301225256
11608564881
1230393ba60
13179776896
14c4b5d652
1579383356
hex4d8f1f28

1301225256 has 64 divisors (see below), whose sum is σ = 3636259200. Its totient is φ = 431132544.

The previous prime is 1301225231. The next prime is 1301225257. The reversal of 1301225256 is 6525221031.

It is a happy number.

1301225256 is a `hidden beast` number, since 13 + 0 + 122 + 525 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1301225257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18036 + ... + 54108.

It is an arithmetic number, because the mean of its divisors is an integer number (56816550).

Almost surely, 21301225256 is an apocalyptic number.

It is a pronic number, being equal to 36072×36073.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301225256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818129600).

1301225256 is an abundant number, since it is smaller than the sum of its proper divisors (2335033944).

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

1301225256 is a wasteful number, since it uses less digits than its factorization.

1301225256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36255 (or 36245 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1301225256 is about 36072.4999965348. The cubic root of 1301225256 is about 1091.7356563383.

Adding to 1301225256 its reverse (6525221031), we get a palindrome (7826446287).

The spelling of 1301225256 in words is "one billion, three hundred one million, two hundred twenty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 167 216 334 501 668 1002 1336 1503 2004 3006 4008 4509 6012 9018 12024 18036 36072 36073 72146 108219 144292 216438 288584 324657 432876 649314 865752 973971 1298628 1947942 2597256 3895884 6024191 7791768 12048382 18072573 24096764 36145146 48193528 54217719 72290292 108435438 144580584 162653157 216870876 325306314 433741752 650612628 1301225256