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22321131322230 = 2335136359296673
BaseRepresentation
bin1010001001101000010110…
…00110100111101101110110
32221000212202000112202222000
411010310023012213231312
510411202134104302410
6115250104113520130
74462435304515626
oct504641306475566
987025660482860
1022321131322230
11712637a7a2294
122605b99873046
13c5bb4854b070
145724c44a8886
1528a95575edc0
hex144d0b1a7b76

22321131322230 has 64 divisors (see below), whose sum is σ = 64101710473920. Its totient is φ = 5494432324608.

The previous prime is 22321131322157. The next prime is 22321131322249. The reversal of 22321131322230 is 3222313112322.

22321131322230 is a `hidden beast` number, since 2 + 2 + 321 + 1 + 313 + 2 + 2 + 23 + 0 = 666.

It is a super-3 number, since 3×223211313222303 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22321131322194 and 22321131322203.

It is a congruent number.

It is an unprimeable number.

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, 3179644827 + ... + 3179651846.

It is an arithmetic number, because the mean of its divisors is an integer number (1001589226155).

Almost surely, 222321131322230 is an apocalyptic number.

22321131322230 is an abundant number, since it is smaller than the sum of its proper divisors (41780579151690).

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

22321131322230 is a wasteful number, since it uses less digits than its factorization.

22321131322230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6359296702 (or 6359296696 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 22321131322230 its reverse (3222313112322), we get a palindrome (25543444434552).

The spelling of 22321131322230 in words is "twenty-two trillion, three hundred twenty-one billion, one hundred thirty-one million, three hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 6359296673 12718593346 19077890019 31796483365 38155780038 57233670057 63592966730 82670856749 95389450095 114467340114 165341713498 171701010171 190778900190 248012570247 286168350285 343402020342 413354283745 496025140494 572336700570 744037710741 826708567490 858505050855 1240062851235 1488075421482 1717010101710 2232113132223 2480125702470 3720188553705 4464226264446 7440377107410 11160565661115 22321131322230