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22033666530264 = 23317521316332771
BaseRepresentation
bin1010000001010000111001…
…10111011101101111011000
32220000101202002211021222010
411000220130313131233120
510341444422112432024
6114510043205425520
74432610540223264
oct500503467355730
986011662737863
1022033666530264
117025475381354
12257a33240b2a0
13c3a9c571571c
145626140a30a4
1528322d7e1b29
hex140a1cdddbd8

22033666530264 has 128 divisors (see below), whose sum is σ = 58456617166080. Its totient is φ = 6896863334400.

The previous prime is 22033666530137. The next prime is 22033666530269. The reversal of 22033666530264 is 46203566633022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22033666530269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672336199 + ... + 672368969.

It is an arithmetic number, because the mean of its divisors is an integer number (456692321610).

Almost surely, 222033666530264 is an apocalyptic number.

22033666530264 is a gapful number since it is divisible by the number (24) 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 22033666530264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29228308583040).

22033666530264 is an abundant number, since it is smaller than the sum of its proper divisors (36422950635816).

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

22033666530264 is a wasteful number, since it uses less digits than its factorization.

22033666530264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36481 (or 36477 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 48.

The spelling of 22033666530264 in words is "twenty-two trillion, thirty-three billion, six hundred sixty-six million, five hundred thirty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 521 1042 1563 2084 3126 3163 4168 6252 6326 8857 9489 12504 12652 17714 18978 25304 26571 32771 35428 37956 53142 53771 65542 70856 75912 98313 106284 107542 131084 161313 196626 212568 215084 262168 322626 393252 430168 557107 645252 786504 1114214 1290504 1647923 1671321 2228428 3295846 3342642 4456856 4943769 6591692 6685284 9887538 13183384 13370568 17073691 19775076 28014691 34147382 39550152 51221073 56029382 68294764 84044073 102442146 103654673 112058764 136589528 168088146 204884292 207309346 224117528 290252747 310964019 336176292 409768584 414618692 580505494 621928038 672352584 829237384 870758241 1161010988 1243856076 1741516482 1762129441 2322021976 2487712152 3483032964 3524258882 5286388323 6966065928 7048517764 10572776646 14097035528 21145553292 42291106584 54004084633 108008169266 162012253899 216016338532 324024507798 432032677064 648049015596 918069438761 1296098031192 1836138877522 2754208316283 3672277755044 5508416632566 7344555510088 11016833265132 22033666530264