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20225242332 = 223231175910303
BaseRepresentation
bin10010110101100001…
…001011010011011100
31221012112100202122100
4102311201023103130
5312410130223312
613142533045100
71314125503041
oct226541132334
957175322570
1020225242332
118639692a09
123b05486790
131ba425c519
14d9c1991c8
157d590e5dc
hex4b584b4dc

20225242332 has 72 divisors (see below), whose sum is σ = 52809236480. Its totient is φ = 6519929760.

The previous prime is 20225242307. The next prime is 20225242333. The reversal of 20225242332 is 23324252202.

20225242332 is a `hidden beast` number, since 202 + 2 + 5 + 2 + 423 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20225242296 and 20225242305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20225242333) 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 23 ways as a sum of consecutive naturals, for example, 1957893 + ... + 1968195.

Almost surely, 220225242332 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 20225242332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26404618240).

20225242332 is an abundant number, since it is smaller than the sum of its proper divisors (32583994148).

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

20225242332 is a wasteful number, since it uses less digits than its factorization.

20225242332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12103 (or 12098 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 20225242332 its reverse (23324252202), we get a palindrome (43549494534).

The spelling of 20225242332 in words is "twenty billion, two hundred twenty-five million, two hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 1759 3518 5277 7036 10303 10554 15831 20606 21108 30909 31662 41212 54529 61818 63324 92727 109058 123636 163587 185454 218116 319393 327174 370908 490761 638786 654348 958179 981522 1277572 1916358 1963044 2874537 3832716 5749074 11498148 18122977 36245954 54368931 72491908 108737862 163106793 217475724 326213586 561812287 652427172 1123624574 1685436861 2247249148 3370873722 5056310583 6741747444 10112621166 20225242332