Search a number
-
+
22102322331232 = 25111373137482957
BaseRepresentation
bin1010000011010000110010…
…00100100011111001100000
32220020221221211211100102101
411001220121010203321200
510344111024004044412
6115001400001500144
74440561103005313
oct501503104437140
986227854740371
1022102322331232
1170515a6827830
12258b6b3041654
13c4431751b220
14565a8837097a
15284deadd1457
hex141a19123e60

22102322331232 has 192 divisors, whose sum is σ = 52199939744064. Its totient is φ = 9079881891840.

The previous prime is 22102322331217. The next prime is 22102322331233. The reversal of 22102322331232 is 23213322320122.

It is a super-2 number, since 2×221023223312322 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22102322331232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102322331233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45523098 + ... + 46006054.

It is an arithmetic number, because the mean of its divisors is an integer number (271874686167).

Almost surely, 222102322331232 is an apocalyptic number.

22102322331232 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 22102322331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26099969872032).

22102322331232 is an abundant number, since it is smaller than the sum of its proper divisors (30097617412832).

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

22102322331232 is a wasteful number, since it uses less digits than its factorization.

22102322331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483201 (or 483193 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 22102322331232 its reverse (23213322320122), we get a palindrome (45315644651354).

The spelling of 22102322331232 in words is "twenty-two trillion, one hundred two billion, three hundred twenty-two million, three hundred thirty-one thousand, two hundred thirty-two".