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22142244152 = 2376717932969
BaseRepresentation
bin10100100111110001…
…111101010100111000
32010011010112112202202
4110213301331110320
5330321403303102
614101053045332
71412463653450
oct244761752470
963133475682
1022142244152
1194327a0836
12435b486848
13211b466922
141100a0ad60
15898d79e02
hex527c7d538

22142244152 has 64 divisors (see below), whose sum is σ = 48426336000. Its totient is φ = 9295393536.

The previous prime is 22142244151. The next prime is 22142244181. The reversal of 22142244152 is 25144224122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22142244151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655124 + ... + 688092.

It is an arithmetic number, because the mean of its divisors is an integer number (756661500).

Almost surely, 222142244152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22142244152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24213168000).

22142244152 is an abundant number, since it is smaller than the sum of its proper divisors (26284091848).

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

22142244152 is a wasteful number, since it uses less digits than its factorization.

22142244152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33228 (or 33224 counting only the distinct ones).

The product of its digits is 10240, while the sum is 29.

Adding to 22142244152 its reverse (25144224122), we get a palindrome (47286468274).

The spelling of 22142244152 in words is "twenty-two billion, one hundred forty-two million, two hundred forty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 67 134 179 268 358 469 536 716 938 1253 1432 1876 2506 3752 5012 10024 11993 23986 32969 47972 65938 83951 95944 131876 167902 230783 263752 335804 461566 671608 923132 1846264 2208923 4417846 5901451 8835692 11802902 15462461 17671384 23605804 30924922 41310157 47211608 61849844 82620314 123699688 165240628 330481256 395397217 790794434 1581588868 2767780519 3163177736 5535561038 11071122076 22142244152