Search a number
-
+
12400222700 = 22521963110343
BaseRepresentation
bin10111000110001110…
…00110000111101100
31012000012012120200102
423203013012013230
5200343424111300
65410243450232
7616201103525
oct134307060754
935005176612
1012400222700
115293669938
1224a0986978
1312280535a8
14858c3d84c
154c897a0d5
hex2e31c61ec

12400222700 has 72 divisors (see below), whose sum is σ = 28372350720. Its totient is φ = 4691131200.

The previous prime is 12400222693. The next prime is 12400222711. The reversal of 12400222700 is 722200421.

It is a happy number.

12400222700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1193729 + ... + 1204071.

Almost surely, 212400222700 is an apocalyptic number.

12400222700 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 12400222700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14186175360).

12400222700 is an abundant number, since it is smaller than the sum of its proper divisors (15972128020).

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

12400222700 is a wasteful number, since it uses less digits than its factorization.

12400222700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11007 (or 11000 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The spelling of 12400222700 in words is "twelve billion, four hundred million, two hundred twenty-two thousand, seven hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 631 950 1262 1900 2524 3155 6310 10343 11989 12620 15775 20686 23978 31550 41372 47956 51715 59945 63100 103430 119890 196517 206860 239780 258575 299725 393034 517150 599450 786068 982585 1034300 1198900 1965170 3930340 4912925 6526433 9825850 13052866 19651700 26105732 32632165 65264330 124002227 130528660 163160825 248004454 326321650 496008908 620011135 652643300 1240022270 2480044540 3100055675 6200111350 12400222700