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22132221212010 = 235713317122920809
BaseRepresentation
bin1010000100001000011110…
…01011101111010101101010
32220100211010112211212022010
411002010033023233111222
510400103242112241020
6115023222502340350
74443000034211040
oct502041713572552
986324115755263
1022132221212010
117063249985458
12259545812a6b6
13c470a096a260
145672c31b6390
15285a9abd3de0
hex14210f2ef56a

22132221212010 has 256 divisors, whose sum is σ = 65637923097600. Its totient is φ = 4650913603584.

The previous prime is 22132221211999. The next prime is 22132221212071. The reversal of 22132221212010 is 1021212223122.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1063578486 + ... + 1063599294.

It is an arithmetic number, because the mean of its divisors is an integer number (256398137100).

Almost surely, 222132221212010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22132221212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32818961548800).

22132221212010 is an abundant number, since it is smaller than the sum of its proper divisors (43505701885590).

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

22132221212010 is a wasteful number, since it uses less digits than its factorization.

22132221212010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22385.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 22132221212010 its reverse (1021212223122), we get a palindrome (23153433435132).

The spelling of 22132221212010 in words is "twenty-two trillion, one hundred thirty-two billion, two hundred twenty-one million, two hundred twelve thousand, ten".