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1225224132 = 22311291013169
BaseRepresentation
bin100100100000111…
…0110111111000100
310011101110211112120
41021001312333010
510002124133012
6321324445540
742235143006
oct11101667704
93141424476
101225224132
11579675030
122a23a98b0
13166ab66c2
14b8a18376
157286e58c
hex49076fc4

1225224132 has 96 divisors (see below), whose sum is σ = 3259267200. Its totient is φ = 354816000.

The previous prime is 1225224131. The next prime is 1225224137. The reversal of 1225224132 is 2314225221.

It is not an unprimeable number, because it can be changed into a prime (1225224131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385044 + ... + 388212.

It is an arithmetic number, because the mean of its divisors is an integer number (33950700).

Almost surely, 21225224132 is an apocalyptic number.

1225224132 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 1225224132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629633600).

1225224132 is an abundant number, since it is smaller than the sum of its proper divisors (2034043068).

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

1225224132 is a wasteful number, since it uses less digits than its factorization.

1225224132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317 (or 3315 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 1225224132 is about 35003.2017392695. The cubic root of 1225224132 is about 1070.0527333023.

Adding to 1225224132 its reverse (2314225221), we get a palindrome (3539449353).

The spelling of 1225224132 in words is "one billion, two hundred twenty-five million, two hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 101 116 132 174 202 303 319 348 404 606 638 957 1111 1212 1276 1914 2222 2929 3169 3333 3828 4444 5858 6338 6666 8787 9507 11716 12676 13332 17574 19014 32219 34859 35148 38028 64438 69718 91901 96657 104577 128876 139436 183802 193314 209154 275703 320069 367604 386628 418308 551406 640138 960207 1010911 1102812 1280276 1920414 2021822 3032733 3520759 3840828 4043644 6065466 7041518 9282001 10562277 12130932 14083036 18564002 21124554 27846003 37128004 42249108 55692006 102102011 111384012 204204022 306306033 408408044 612612066 1225224132