Search a number
-
+
12245590320 = 243551023293
BaseRepresentation
bin10110110011110010…
…01110000100110000
31011121102020102221020
423121321032010300
5200034332342240
65343041255440
7612312541335
oct133171160460
934542212836
1012245590320
115214353287
122459034580
131201cc2042
148424aa98c
154ba0d30d0
hex2d9e4e130

12245590320 has 40 divisors (see below), whose sum is σ = 37961330736. Its totient is φ = 3265490688.

The previous prime is 12245590319. The next prime is 12245590321. The reversal of 12245590320 is 2309554221.

It is an interprime number because it is at equal distance from previous prime (12245590319) and next prime (12245590321).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×122455903203 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12245590321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25511407 + ... + 25511886.

Almost surely, 212245590320 is an apocalyptic number.

12245590320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12245590320 is an abundant number, since it is smaller than the sum of its proper divisors (25715740416).

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

12245590320 is a wasteful number, since it uses less digits than its factorization.

12245590320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51023309 (or 51023303 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 12245590320 in words is "twelve billion, two hundred forty-five million, five hundred ninety thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 51023293 102046586 153069879 204093172 255116465 306139758 408186344 510232930 612279516 765349395 816372688 1020465860 1224559032 1530698790 2040931720 2449118064 3061397580 4081863440 6122795160 12245590320