Base | Representation |
---|---|
bin | 10100100111110100… |
… | …100111001100100100 |
3 | 2010011011211220012200 |
4 | 110213310213030210 |
5 | 330322043034230 |
6 | 14101120014500 |
7 | 1412502612132 |
oct | 244764471444 |
9 | 63134756180 |
10 | 22142939940 |
11 | 9433126570 |
12 | 435b761430 |
13 | 211b64b534 |
14 | 1100b4c752 |
15 | 898e66160 |
hex | 527d27324 |
22142939940 has 144 divisors (see below), whose sum is σ = 73332133056. Its totient is φ = 5363654400.
The previous prime is 22142939939. The next prime is 22142939971. The reversal of 22142939940 is 4993924122.
22142939940 is a `hidden beast` number, since 2 + 214 + 2 + 9 + 399 + 40 = 666.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
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 47 ways as a sum of consecutive naturals, for example, 2932570 + ... + 2940110.
It is an arithmetic number, because the mean of its divisors is an integer number (509250924).
Almost surely, 222142939940 is an apocalyptic number.
22142939940 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 22142939940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36666066528).
22142939940 is an abundant number, since it is smaller than the sum of its proper divisors (51189193116).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22142939940 is a wasteful number, since it uses less digits than its factorization.
22142939940 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9050 (or 9045 counting only the distinct ones).
The product of its (nonzero) digits is 279936, while the sum is 45.
The spelling of 22142939940 in words is "twenty-two billion, one hundred forty-two million, nine hundred thirty-nine thousand, nine hundred forty".
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