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34221442025 = 522976961381
BaseRepresentation
bin11111110111110000…
…011100001111101001
310021022221200101011202
4133313300130033221
51030041142121100
623415432133545
72321016313001
oct376760341751
9107287611152
1034221442025
11135711259a1
1267708372b5
1332c4b3a6a4
141928d63001
15d545417d5
hex7f7c1c3e9

34221442025 has 24 divisors (see below), whose sum is σ = 43955650200. Its totient is φ = 26398310400.

The previous prime is 34221442007. The next prime is 34221442037. The reversal of 34221442025 is 52024412243.

It can be written as a sum of positive squares in 12 ways, for example, as 20373565696 + 13847876329 = 142736^2 + 117677^2 .

It is not a de Polignac number, because 34221442025 - 216 = 34221376489 is a prime.

It is a super-2 number, since 2×342214420252 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526835 + ... + 588215.

It is an arithmetic number, because the mean of its divisors is an integer number (1831485425).

Almost surely, 234221442025 is an apocalyptic number.

It is an amenable number.

34221442025 is a deficient number, since it is larger than the sum of its proper divisors (9734208175).

34221442025 is a wasteful number, since it uses less digits than its factorization.

34221442025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62189 (or 62184 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 34221442025 its reverse (52024412243), we get a palindrome (86245854268).

The spelling of 34221442025 in words is "thirty-four billion, two hundred twenty-one million, four hundred forty-two thousand, twenty-five".

Divisors: 1 5 25 29 145 725 769 3845 19225 22301 61381 111505 306905 557525 1534525 1780049 8900245 44501225 47201989 236009945 1180049725 1368857681 6844288405 34221442025