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22026621042225 = 3252731830173277
BaseRepresentation
bin1010000001000011110001…
…11011000011111000110001
32212222201120002111102022200
411000201320323003320301
510341341004441322400
6114502520124253413
74432241126450652
oct500417073037061
985881502442280
1022026621042225
11702248a388968
122578aa69a1269
13c3a141b73ca7
145621464a5529
15282e69edeb00
hex140878ec3e31

22026621042225 has 72 divisors (see below), whose sum is σ = 39995296835832. Its totient is φ = 11585814912000.

The previous prime is 22026621042197. The next prime is 22026621042317. The reversal of 22026621042225 is 52224012662022.

22026621042225 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 6 + 621 + 0 + 4 + 2 + 2 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 16111160404641 + 5915460637584 = 4013871^2 + 2432172^2 .

It is not a de Polignac number, because 22026621042225 - 224 = 22026604265009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22026621042225.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 300557287 + ... + 300630563.

It is an arithmetic number, because the mean of its divisors is an integer number (555490233831).

Almost surely, 222026621042225 is an apocalyptic number.

22026621042225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22026621042225 is a deficient number, since it is larger than the sum of its proper divisors (17968675793607).

22026621042225 is a wasteful number, since it uses less digits than its factorization.

22026621042225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91667 (or 91659 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 22026621042225 in words is "twenty-two trillion, twenty-six billion, six hundred twenty-one million, forty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 73 75 219 225 365 657 1095 1825 3285 5475 16425 18301 54903 73277 91505 164709 219831 274515 366385 457525 659493 823545 1099155 1335973 1372575 1831925 3297465 4007919 4117725 5349221 5495775 6679865 12023757 16047663 16487325 20039595 26746105 33399325 48142989 60118785 80238315 100197975 133730525 240714945 300593925 401191575 1203574725 1341042377 4023127131 6705211885 12069381393 20115635655 33526059425 60346906965 97896093521 100578178275 293688280563 301734534825 489480467605 881064841689 1468441402815 2447402338025 4405324208445 7342207014075 22026621042225