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22420335336 = 23372181105331
BaseRepresentation
bin10100111000010110…
…110010101011101000
32010212111211001011020
4110320112302223220
5331404101212321
614144425332440
71422411464100
oct247026625350
963774731136
1022420335336
119565770863
124418637120
132163c63519
14112991a200
158b34ac4c6
hex5385b2ae8

22420335336 has 96 divisors (see below), whose sum is σ = 65562850080. Its totient is φ = 6370358400.

The previous prime is 22420335307. The next prime is 22420335337. The reversal of 22420335336 is 63353302422.

It is a junction number, because it is equal to n+sod(n) for n = 22420335297 and 22420335306.

It is not an unprimeable number, because it can be changed into a prime (22420335337) 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, 160191 + ... + 265521.

It is an arithmetic number, because the mean of its divisors is an integer number (682946355).

Almost surely, 222420335336 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 22420335336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32781425040).

22420335336 is an abundant number, since it is smaller than the sum of its proper divisors (43142514744).

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

22420335336 is a wasteful number, since it uses less digits than its factorization.

22420335336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105535 (or 105524 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 33.

Adding to 22420335336 its reverse (63353302422), we get a palindrome (85773637758).

The spelling of 22420335336 in words is "twenty-two billion, four hundred twenty million, three hundred thirty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 181 196 294 362 392 543 588 724 1086 1176 1267 1448 2172 2534 3801 4344 5068 7602 8869 10136 15204 17738 26607 30408 35476 53214 70952 105331 106428 210662 212856 315993 421324 631986 737317 842648 1263972 1474634 2211951 2527944 2949268 4423902 5161219 5898536 8847804 10322438 15483657 17695608 19064911 20644876 30967314 38129822 41289752 57194733 61934628 76259644 114389466 123869256 133454377 152519288 228778932 266908754 400363131 457557864 533817508 800726262 934180639 1067635016 1601452524 1868361278 2802541917 3202905048 3736722556 5605083834 7473445112 11210167668 22420335336