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34221442332 = 22371167896211
BaseRepresentation
bin11111110111110000…
…011100010100011100
310021022221200101121010
4133313300130110130
51030041142123312
623415432135220
72321016313620
oct376760342434
9107287611533
1034221442332
1113571126150
126770837510
1332c4b3a87c
141928d63180
15d5454193c
hex7f7c1c51c

34221442332 has 192 divisors, whose sum is σ = 102190878720. Its totient is φ = 8656243200.

The previous prime is 34221442273. The next prime is 34221442351. The reversal of 34221442332 is 23324412243.

It is a super-2 number, since 2×342214423322 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34221442332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5506707 + ... + 5512917.

It is an arithmetic number, because the mean of its divisors is an integer number (532244160).

Almost surely, 234221442332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34221442332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51095439360).

34221442332 is an abundant number, since it is smaller than the sum of its proper divisors (67969436388).

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

34221442332 is a wasteful number, since it uses less digits than its factorization.

34221442332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6392 (or 6390 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

Adding to 34221442332 its reverse (23324412243), we get a palindrome (57545854575).

The spelling of 34221442332 in words is "thirty-four billion, two hundred twenty-one million, four hundred forty-two thousand, three hundred thirty-two".