Search a number
-
+
22221145201332 = 2237112341202912569
BaseRepresentation
bin1010000110101110000110…
…11101110101101010110100
32220200022122211000120021010
411003113003131311222310
510403032401132420312
6115132130404152220
74452265456514160
oct503270335655264
986608584016233
1022221145201332
117097a31186820
1225aa734698670
13c525a288aa0c
1456b71b21bca0
1528805286793c
hex1435c3775ab4

22221145201332 has 384 divisors, whose sum is σ = 69138684518400. Its totient is φ = 5383045324800.

The previous prime is 22221145201271. The next prime is 22221145201349. The reversal of 22221145201332 is 23310254112222.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22221145201332.

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, 1767926344 + ... + 1767938912.

It is an arithmetic number, because the mean of its divisors is an integer number (180048657600).

Almost surely, 222221145201332 is an apocalyptic number.

22221145201332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22221145201332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34569342259200).

22221145201332 is an abundant number, since it is smaller than the sum of its proper divisors (46917539317068).

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

22221145201332 is a wasteful number, since it uses less digits than its factorization.

22221145201332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14687 (or 14685 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 22221145201332 its reverse (23310254112222), we get a palindrome (45531399313554).

The spelling of 22221145201332 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred forty-five million, two hundred one thousand, three hundred thirty-two".