Search a number
-
+
22142930940 = 223251321017207
BaseRepresentation
bin10100100111110100…
…100100111111111100
32010011011211102212100
4110213310210333330
5330322042242230
614101115505100
71412502543654
oct244764447774
963134742770
1022142930940
11943311a829
12435b758190
13211b647400
141100b49364
15898e63660
hex527d24ffc

22142930940 has 216 divisors, whose sum is σ = 73461312288. Its totient is φ = 5395852800.

The previous prime is 22142930939. The next prime is 22142930951. The reversal of 22142930940 is 4903924122.

22142930940 is a `hidden beast` number, since 221 + 429 + 3 + 0 + 9 + 4 + 0 = 666.

It is a super-2 number, since 2×221429309402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22142930895 and 22142930904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3068817 + ... + 3076023.

It is an arithmetic number, because the mean of its divisors is an integer number (340098668).

Almost surely, 222142930940 is an apocalyptic number.

22142930940 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 22142930940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36730656144).

22142930940 is an abundant number, since it is smaller than the sum of its proper divisors (51318381348).

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

22142930940 is a wasteful number, since it uses less digits than its factorization.

22142930940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7349 (or 7331 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 22142930940 in words is "twenty-two billion, one hundred forty-two million, nine hundred thirty thousand, nine hundred forty".