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20222590329 = 341722929789
BaseRepresentation
bin10010110101010111…
…000011110101111001
31221012100101000210000
4102311113003311321
5312403440342304
613142400143213
71314064116204
oct226527036571
957170330700
1020222590329
118638141477
123b04607b09
131ba38413a6
14d9baa893b
157d5588939
hex4b55c3d79

20222590329 has 60 divisors (see below), whose sum is σ = 33198273900. Its totient is φ = 12250732032.

The previous prime is 20222590307. The next prime is 20222590331. The reversal of 20222590329 is 92309522202.

20222590329 is a `hidden beast` number, since 20 + 2 + 22 + 590 + 3 + 29 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1750329 + 20220840000 = 1323^2 + 142200^2 .

It is not a de Polignac number, because 20222590329 - 213 = 20222582137 is a prime.

It is a super-2 number, since 2×202225903292 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20222590293 and 20222590302.

It is not an unprimeable number, because it can be changed into a prime (20222590229) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 663967 + ... + 693755.

It is an arithmetic number, because the mean of its divisors is an integer number (553304565).

Almost surely, 220222590329 is an apocalyptic number.

20222590329 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

20222590329 is a deficient number, since it is larger than the sum of its proper divisors (12975683571).

20222590329 is a wasteful number, since it uses less digits than its factorization.

20222590329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29864 (or 29838 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 20222590329 in words is "twenty billion, two hundred twenty-two million, five hundred ninety thousand, three hundred twenty-nine".

Divisors: 1 3 9 17 27 29 51 81 87 153 261 289 459 493 783 867 1377 1479 2349 2601 4437 7803 8381 13311 23409 25143 29789 39933 75429 89367 226287 268101 506413 678861 804303 863881 1519239 2412909 2591643 4557717 7774929 8609021 13673151 14685977 23324787 25827063 41019453 44057931 69974361 77481189 132173793 232443567 249661609 396521379 697330701 748984827 1189564137 2246954481 6740863443 20222590329