Search a number
-
+
22111232120 = 2352977324659
BaseRepresentation
bin10100100101111011…
…101010000001111000
32010001222011222020222
4110211323222001320
5330240433411440
614054024235212
71411636241405
oct244573520170
963058158228
1022111232120
119417239a5a
12435100bb08
132114bc9103
1410da8572ac
158962a12b5
hex525eea078

22111232120 has 64 divisors (see below), whose sum is σ = 51534468000. Its totient is φ = 8528117248.

The previous prime is 22111232113. The next prime is 22111232123. The reversal of 22111232120 is 2123211122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22111232123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 884351 + ... + 909009.

Almost surely, 222111232120 is an apocalyptic number.

22111232120 is a gapful number since it is divisible by the number (20) 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 22111232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25767234000).

22111232120 is an abundant number, since it is smaller than the sum of its proper divisors (29423235880).

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

22111232120 is a wasteful number, since it uses less digits than its factorization.

22111232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25472 (or 25468 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 22111232120 its reverse (2123211122), we get a palindrome (24234443242).

The spelling of 22111232120 in words is "twenty-two billion, one hundred eleven million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 773 1160 1546 3092 3865 6184 7730 15460 22417 24659 30920 44834 49318 89668 98636 112085 123295 179336 197272 224170 246590 448340 493180 715111 896680 986360 1430222 2860444 3575555 5720888 7151110 14302220 19061407 28604440 38122814 76245628 95307035 152491256 190614070 381228140 552780803 762456280 1105561606 2211123212 2763904015 4422246424 5527808030 11055616060 22111232120