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22442234200134 = 23731227251353857
BaseRepresentation
bin1010001101001001111010…
…11001011100000001000110
32221110110022212222101112020
411012210331121130001012
510420143143423401014
6115421453044504010
74504253325141540
oct506447531340106
987413285871466
1022442234200134
117172775157951
1226255569ab006
13c6a3a8082cb8
145782d209c690
1528db924691a9
hex14693d65c046

22442234200134 has 256 divisors, whose sum is σ = 53610165633024. Its totient is φ = 6128686080000.

The previous prime is 22442234200093. The next prime is 22442234200229. The reversal of 22442234200134 is 43100243224422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22442234200095 and 22442234200104.

It is a congruent number.

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, 26186970634 + ... + 26186971490.

It is an arithmetic number, because the mean of its divisors is an integer number (209414709504).

Almost surely, 222442234200134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22442234200134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26805082816512).

22442234200134 is an abundant number, since it is smaller than the sum of its proper divisors (31167931432890).

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

22442234200134 is a wasteful number, since it uses less digits than its factorization.

22442234200134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 22442234200134 its reverse (43100243224422), we get a palindrome (65542477424556).

The spelling of 22442234200134 in words is "twenty-two trillion, four hundred forty-two billion, two hundred thirty-four million, two hundred thousand, one hundred thirty-four".