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22682872420 = 2251326710909
BaseRepresentation
bin10101001000000000…
…010010101001100100
32011112210211022022221
4111020000102221210
5332423303404140
614230444402124
71432050143245
oct251000225144
964483738287
1022682872420
11968a98785a
124490546344
1321a6475500
14115273accc
158cb56b14a
hex548012a64

22682872420 has 36 divisors (see below), whose sum is σ = 51580054260. Its totient is φ = 8375213184.

The previous prime is 22682872417. The next prime is 22682872427. The reversal of 22682872420 is 2427828622.

It can be written as a sum of positive squares in 6 ways, for example, as 180472356 + 22502400064 = 13434^2 + 150008^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (22682872427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3352075 + ... + 3358834.

It is an arithmetic number, because the mean of its divisors is an integer number (1432779285).

Almost surely, 222682872420 is an apocalyptic number.

22682872420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22682872420 is an abundant number, since it is smaller than the sum of its proper divisors (28897181840).

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

22682872420 is a wasteful number, since it uses less digits than its factorization.

22682872420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6710944 (or 6710929 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 43.

The spelling of 22682872420 in words is "twenty-two billion, six hundred eighty-two million, eight hundred seventy-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 6710909 13421818 26843636 33554545 67109090 87241817 134218180 174483634 348967268 436209085 872418170 1134143621 1744836340 2268287242 4536574484 5670718105 11341436210 22682872420