Search a number
-
+
2200022040 = 233519195987
BaseRepresentation
bin1000001100100001…
…1010110000011000
312200022201200212210
42003020122300120
514001201201130
61002150035120
7105342610266
oct20310326030
95608650783
102200022040
11a29945137
12514948aa0
13290a3b6b8
1416c285436
15cd2235b0
hex8321ac18

2200022040 has 64 divisors (see below), whose sum is σ = 6634690560. Its totient is φ = 583594880.

The previous prime is 2200022023. The next prime is 2200022047. The reversal of 2200022040 is 402200022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200022047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25074 + ... + 70913.

It is an arithmetic number, because the mean of its divisors is an integer number (103667040).

Almost surely, 22200022040 is an apocalyptic number.

2200022040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200022040 is an abundant number, since it is smaller than the sum of its proper divisors (4434668520).

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

2200022040 is a wasteful number, since it uses less digits than its factorization.

2200022040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96192 (or 96188 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2200022040 is about 46904.3925448353. The cubic root of 2200022040 is about 1300.5957900241.

Adding to 2200022040 its reverse (402200022), we get a palindrome (2602222062).

The spelling of 2200022040 in words is "two billion, two hundred million, twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1146 1528 1910 2292 2865 3820 4584 5730 7640 11460 22920 95987 191974 287961 383948 479935 575922 767896 959870 1151844 1439805 1919740 2303688 2879610 3839480 5759220 11518440 18333517 36667034 55000551 73334068 91667585 110001102 146668136 183335170 220002204 275002755 366670340 440004408 550005510 733340680 1100011020 2200022040