Search a number
-
+
44421022322200 = 23527910167741117
BaseRepresentation
bin10100001100110100100110…
…10000011000111000011000
312211021121102102101200220101
422012122103100120320120
521310243223203302300
6234250422543505144
712233212225536016
oct1206322320307030
9184247372350811
1044421022322200
1113176939057937
124b951125b81b4
131ba2b66130724
14ad7dbb9818b6
1552075ce7bb6a
hex286693418e18

44421022322200 has 192 divisors, whose sum is σ = 105780298377600. Its totient is φ = 17343715584000.

The previous prime is 44421022322177. The next prime is 44421022322221. The reversal of 44421022322200 is 222322012444.

It is a happy number.

It is a super-2 number, since 2×444210223222002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1080336042 + ... + 1080377158.

It is an arithmetic number, because the mean of its divisors is an integer number (550939054050).

Almost surely, 244421022322200 is an apocalyptic number.

44421022322200 is a gapful number since it is divisible by the number (40) 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 44421022322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52890149188800).

44421022322200 is an abundant number, since it is smaller than the sum of its proper divisors (61359276055400).

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

44421022322200 is a wasteful number, since it uses less digits than its factorization.

44421022322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41990 (or 41981 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 44421022322200 its reverse (222322012444), we get a palindrome (44643344334644).

The spelling of 44421022322200 in words is "forty-four trillion, four hundred twenty-one billion, twenty-two million, three hundred twenty-two thousand, two hundred".