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22002662264020 = 22523251372751131
BaseRepresentation
bin1010000000010111001001…
…10111100100110011010100
32212220102201100211101021221
411000023210313210303110
510340442423014422040
6114443514500420124
74430432324264434
oct500134467446324
985812640741257
1022002662264020
117013305270219
12257431b0a7644
13c37ac427b659
14560d1251a2c4
1528251694274a
hex1402e4de4cd4

22002662264020 has 96 divisors (see below), whose sum is σ = 48420554305536. Its totient is φ = 8382456720000.

The previous prime is 22002662263987. The next prime is 22002662264081. The reversal of 22002662264020 is 2046226620022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430293855 + ... + 430344985.

It is an arithmetic number, because the mean of its divisors is an integer number (504380774016).

Almost surely, 222002662264020 is an apocalyptic number.

22002662264020 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 22002662264020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24210277152768).

22002662264020 is an abundant number, since it is smaller than the sum of its proper divisors (26417892041516).

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

22002662264020 is a wasteful number, since it uses less digits than its factorization.

22002662264020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55141 (or 55139 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 22002662264020 its reverse (2046226620022), we get a palindrome (24048888884042).

The spelling of 22002662264020 in words is "twenty-two trillion, two billion, six hundred sixty-two million, two hundred sixty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 251 460 502 1004 1255 2510 3727 5020 5773 7454 11546 14908 18635 23092 28865 37270 51131 57730 74540 85721 102262 115460 171442 204524 255655 342884 428605 511310 857210 935477 1022620 1176013 1714420 1870954 2352026 3741908 4677385 4704052 5880065 9354770 11760130 12833881 18709540 21515971 23520260 25667762 43031942 51335524 64169405 86063884 107579855 128338810 190565237 215159710 256677620 295179263 381130474 430319420 590358526 762260948 952826185 1180717052 1475896315 1905652370 2951792630 3811304740 4383000451 5903585260 8766000902 17532001804 21915002255 43830004510 47831874487 87660009020 95663748974 191327497948 239159372435 478318744870 956637489740 1100133113201 2200266226402 4400532452804 5500665566005 11001331132010 22002662264020