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22134567225948 = 2235933194451701
BaseRepresentation
bin1010000100001100110110…
…00001000100101001011100
32220101001012001021201102020
411002012123001010221130
510400123043202212243
6115024251345500140
74443112132045602
oct502063301045134
986331161251366
1022134567225948
117064243174451
1225959b1941650
13c47385a03398
145674669c1872
15285b86b44283
hex14219b044a5c

22134567225948 has 48 divisors (see below), whose sum is σ = 52681381307520. Its totient is φ = 7231222152000.

The previous prime is 22134567225937. The next prime is 22134567225973. The reversal of 22134567225948 is 84952276543122.

It is a happy number.

It is a super-2 number, since 2×221345672259482 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22134567225891 and 22134567225900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46991503 + ... + 47460198.

It is an arithmetic number, because the mean of its divisors is an integer number (1097528777240).

Almost surely, 222134567225948 is an apocalyptic number.

It is an amenable number.

22134567225948 is an abundant number, since it is smaller than the sum of its proper divisors (30546814081572).

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

22134567225948 is a wasteful number, since it uses less digits than its factorization.

22134567225948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94452098 (or 94452096 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 60.

The spelling of 22134567225948 in words is "twenty-two trillion, one hundred thirty-four billion, five hundred sixty-seven million, two hundred twenty-five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 59 118 177 236 331 354 662 708 993 1324 1986 3972 19529 39058 58587 78116 117174 234348 94451701 188903402 283355103 377806804 566710206 1133420412 5572650359 11145300718 16717951077 22290601436 31263513031 33435902154 62527026062 66871804308 93790539093 125054052124 187581078186 375162156372 1844547268829 3689094537658 5533641806487 7378189075316 11067283612974 22134567225948