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22002311312320 = 265296133867763
BaseRepresentation
bin1010000000010110011111…
…11100110011001111000000
32212220101210220110012001211
411000023033330303033000
510340441213143443240
6114443420002335504
74430420533244563
oct500131774631700
985811726405054
1022002311312320
117013145155a99
12257424165a594
13c37a69651221
14560cbba824da
152824e5c1bbea
hex1402cff333c0

22002311312320 has 112 divisors (see below), whose sum is σ = 54288090214560. Its totient is φ = 8483580112896.

The previous prime is 22002311312309. The next prime is 22002311312329. The reversal of 22002311312320 is 2321311320022.

It is a junction number, because it is equal to n+sod(n) for n = 22002311312291 and 22002311312300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002311312329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3754759 + ... + 7622521.

Almost surely, 222002311312320 is an apocalyptic number.

22002311312320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22002311312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27144045107280).

22002311312320 is an abundant number, since it is smaller than the sum of its proper divisors (32285778902240).

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

22002311312320 is a wasteful number, since it uses less digits than its factorization.

22002311312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868422 (or 3868412 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 22002311312320 its reverse (2321311320022), we get a palindrome (24323622632342).

The spelling of 22002311312320 in words is "twenty-two trillion, two billion, three hundred eleven million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 613 928 1160 1226 1856 2320 2452 3065 4640 4904 6130 9280 9808 12260 17777 19616 24520 35554 39232 49040 71108 88885 98080 142216 177770 196160 284432 355540 568864 711080 1137728 1422160 2844320 3867763 5688640 7735526 15471052 19338815 30942104 38677630 61884208 77355260 112165127 123768416 154710520 224330254 247536832 309421040 448660508 560825635 618842080 897321016 1121651270 1237684160 1794642032 2243302540 2370938719 3589284064 4486605080 4741877438 7178568128 8973210160 9483754876 11854693595 17946420320 18967509752 23709387190 35892840640 37935019504 47418774380 68757222851 75870039008 94837548760 137514445702 151740078016 189675097520 275028891404 343786114255 379350195040 550057782808 687572228510 758700390080 1100115565616 1375144457020 2200231131232 2750288914040 4400462262464 5500577828080 11001155656160 22002311312320