Search a number
-
+
12221753800 = 23521923139837
BaseRepresentation
bin10110110000111100…
…10010100111001000
31011112202101102101011
423120132102213020
5200012232110200
65340430333304
7611603123164
oct133036224710
934482342334
1012221753800
115201952583
12245105a234
1311ca0975a9
1483d263ca4
154b7e755ba
hex2d87929c8

12221753800 has 96 divisors (see below), whose sum is σ = 31211841600. Its totient is φ = 4430004480.

The previous prime is 12221753783. The next prime is 12221753809. The reversal of 12221753800 is 835712221.

It is not an unprimeable number, because it can be changed into a prime (12221753809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17482 + ... + 157318.

It is an arithmetic number, because the mean of its divisors is an integer number (325123350).

Almost surely, 212221753800 is an apocalyptic number.

12221753800 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 12221753800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15605920800).

12221753800 is an abundant number, since it is smaller than the sum of its proper divisors (18990087800).

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

12221753800 is a wasteful number, since it uses less digits than its factorization.

12221753800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139895 (or 139886 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 12221753800 in words is "twelve billion, two hundred twenty-one million, seven hundred fifty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 19 20 23 25 38 40 46 50 76 92 95 100 115 152 184 190 200 230 380 437 460 475 575 760 874 920 950 1150 1748 1900 2185 2300 3496 3800 4370 4600 8740 10925 17480 21850 43700 87400 139837 279674 559348 699185 1118696 1398370 2656903 2796740 3216251 3495925 5313806 5593480 6432502 6991850 10627612 12865004 13284515 13983700 16081255 21255224 25730008 26569030 27967400 32162510 53138060 61108769 64325020 66422575 80406275 106276120 122217538 128650040 132845150 160812550 244435076 265690300 305543845 321625100 488870152 531380600 611087690 643250200 1222175380 1527719225 2444350760 3055438450 6110876900 12221753800