Search a number
-
+
22901185944 = 23337132195389
BaseRepresentation
bin10101010101000001…
…000101110110011000
32012010000121210012000
4111111001011312120
5333400200422234
614304243521000
71440340603650
oct252501056630
965100553160
1022901185944
119792138a5a
124531689160
13220c772400
141173729360
158e07e1899
hex555045d98

22901185944 has 768 divisors, whose sum is σ = 85380480000. Its totient is φ = 5550944256.

The previous prime is 22901185939. The next prime is 22901186023. The reversal of 22901185944 is 44958110922.

It is a happy number.

It is a super-2 number, since 2×229011859442 (a number of 22 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 22901185944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 257316652 + ... + 257316740.

It is an arithmetic number, because the mean of its divisors is an integer number (111172500).

Almost surely, 222901185944 is an apocalyptic number.

22901185944 is a gapful number since it is divisible by the number (24) 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 22901185944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42690240000).

22901185944 is an abundant number, since it is smaller than the sum of its proper divisors (62479294056).

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

22901185944 is a wasteful number, since it uses less digits than its factorization.

22901185944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 22901185944 in words is "twenty-two billion, nine hundred one million, one hundred eighty-five thousand, nine hundred forty-four".