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1225255152 = 243114156599
BaseRepresentation
bin100100100000111…
…1110100011110000
310011101112102002110
41021001332203300
510002131131102
6321325245320
742235332312
oct11101764360
93141472073
101225255152
11579696370
122a2403840
13166ac7864
14b8a257b2
157287886c
hex4907e8f0

1225255152 has 80 divisors (see below), whose sum is σ = 3537273600. Its totient is φ = 362227200.

The previous prime is 1225255151. The next prime is 1225255169. The reversal of 1225255152 is 2515525221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225255151) 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, 6652 + ... + 49947.

It is an arithmetic number, because the mean of its divisors is an integer number (44215920).

Almost surely, 21225255152 is an apocalyptic number.

1225255152 is a gapful number since it is divisible by the number (12) 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 1225255152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768636800).

1225255152 is an abundant number, since it is smaller than the sum of its proper divisors (2312018448).

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

1225255152 is a wasteful number, since it uses less digits than its factorization.

1225255152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56662 (or 56656 counting only the distinct ones).

The product of its digits is 10000, while the sum is 30.

The square root of 1225255152 is about 35003.6448387879. The cubic root of 1225255152 is about 1070.0617636924.

The spelling of 1225255152 in words is "one billion, two hundred twenty-five million, two hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 246 264 328 451 492 528 656 902 984 1353 1804 1968 2706 3608 5412 7216 10824 21648 56599 113198 169797 226396 339594 452792 622589 679188 905584 1245178 1358376 1867767 2320559 2490356 2716752 3735534 4641118 4980712 6961677 7471068 9282236 9961424 13923354 14942136 18564472 25526149 27846708 29884272 37128944 51052298 55693416 76578447 102104596 111386832 153156894 204209192 306313788 408418384 612627576 1225255152