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22253412135251 = 1137647358123599
BaseRepresentation
bin1010000111101010001101…
…01110011011000101010011
32220210101221112221122100202
411003311012232123011103
510404044442001312001
6115155024300405415
74454520204105623
oct503650656330523
986711845848322
1022253412135251
1170aa68a006860
1225b4a3a84686b
13c556457bb51b
1456d0dc768883
15288ce04d096b
hex143d46b9b153

22253412135251 has 32 divisors (see below), whose sum is σ = 24979137177600. Its totient is φ = 19646864150400.

The previous prime is 22253412135239. The next prime is 22253412135299. The reversal of 22253412135251 is 15253121435222.

It is a cyclic number.

It is not a de Polignac number, because 22253412135251 - 210 = 22253412134227 is a prime.

It is a super-2 number, since 2×222534121352512 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22253412135751) 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, 942969350 + ... + 942992948.

It is an arithmetic number, because the mean of its divisors is an integer number (780598036800).

Almost surely, 222253412135251 is an apocalyptic number.

22253412135251 is a deficient number, since it is larger than the sum of its proper divisors (2725725042349).

22253412135251 is a wasteful number, since it uses less digits than its factorization.

22253412135251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27875.

The product of its digits is 144000, while the sum is 38.

The spelling of 22253412135251 in words is "twenty-two trillion, two hundred fifty-three billion, four hundred twelve million, one hundred thirty-five thousand, two hundred fifty-one".

Divisors: 1 11 37 407 647 3581 7117 23599 23939 39391 132497 259589 263329 873163 1457467 2316907 9604793 15268553 25485977 84508019 85725559 167954083 564936461 929588209 942981149 3126796703 6214301071 34394763733 54676688293 601443571223 2023037466841 22253412135251