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22232100020 = 22513407920963
BaseRepresentation
bin10100101101001000…
…101110110010110100
32010101101121200211212
4110231020232302310
5331012404200040
614114023020552
71414634506064
oct245510566264
963341550755
1022232100020
119479493889
12438559a758
132133c68090
14110c91b3a4
158a1bc8d65
hex52d22ecb4

22232100020 has 48 divisors (see below), whose sum is σ = 50293474560. Its totient is φ = 8206371456.

The previous prime is 22232099971. The next prime is 22232100029. The reversal of 22232100020 is 2000123222.

It is a junction number, because it is equal to n+sod(n) for n = 22232099968 and 22232100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22232100029) 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, 1050059 + ... + 1071021.

It is an arithmetic number, because the mean of its divisors is an integer number (1047780720).

Almost surely, 222232100020 is an apocalyptic number.

22232100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22232100020 is an abundant number, since it is smaller than the sum of its proper divisors (28061374540).

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

22232100020 is a wasteful number, since it uses less digits than its factorization.

22232100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25064 (or 25062 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 22232100020 its reverse (2000123222), we get a palindrome (24232223242).

The spelling of 22232100020 in words is "twenty-two billion, two hundred thirty-two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 4079 8158 16316 20395 20963 40790 41926 53027 81580 83852 104815 106054 209630 212108 265135 272519 419260 530270 545038 1060540 1090076 1362595 2725190 5450380 85508077 171016154 342032308 427540385 855080770 1111605001 1710161540 2223210002 4446420004 5558025005 11116050010 22232100020