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22321400413340 = 2257612613747121
BaseRepresentation
bin1010001001101000110110…
…01001000111110010011100
32221000220102202220000120102
411010310123021013302130
510411203212001211330
6115250150525240232
74462445052663050
oct504643311076234
987026382800512
1022321400413340
1171264a8685436
122606053a03078
13c5bb8c216282
1457250c113c60
1528a96e1b5945
hex144d1b247c9c

22321400413340 has 48 divisors (see below), whose sum is σ = 54449580045504. Its totient is φ = 7527591705600.

The previous prime is 22321400413337. The next prime is 22321400413363. The reversal of 22321400413340 is 4331400412322.

It is a super-3 number, since 3×223214004133403 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1306865021 + ... + 1306882100.

It is an arithmetic number, because the mean of its divisors is an integer number (1134366250948).

Almost surely, 222321400413340 is an apocalyptic number.

22321400413340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22321400413340 is an abundant number, since it is smaller than the sum of its proper divisors (32128179632164).

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

22321400413340 is a wasteful number, since it uses less digits than its factorization.

22321400413340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613747198 (or 2613747196 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 22321400413340 its reverse (4331400412322), we get a palindrome (26652800825662).

The spelling of 22321400413340 in words is "twenty-two trillion, three hundred twenty-one billion, four hundred million, four hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 4270 8540 2613747121 5227494242 10454988484 13068735605 18296229847 26137471210 36592459694 52274942420 73184919388 91481149235 159438574381 182962298470 318877148762 365924596940 637754297524 797192871905 1116070020667 1594385743810 2232140041334 3188771487620 4464280082668 5580350103335 11160700206670 22321400413340