Search a number
-
+
22044341440 = 26511373709
BaseRepresentation
bin10100100001111100…
…011111010011000000
32002220022022120111101
4110201330133103000
5330121322411230
614043234424144
71410164545012
oct244174372300
962808276441
1022044341440
119392502000
124332732054
1321040a8924
1410d1a041b2
1589048baca
hex521f1f4c0

22044341440 has 224 divisors, whose sum is σ = 58611942720. Its totient is φ = 7895162880.

The previous prime is 22044341369. The next prime is 22044341471. The reversal of 22044341440 is 4414344022.

It is a super-3 number, since 3×220443414403 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22044341399 and 22044341408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31091806 + ... + 31092514.

Almost surely, 222044341440 is an apocalyptic number.

22044341440 is a gapful number since it is divisible by the number (20) 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 22044341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29305971360).

22044341440 is an abundant number, since it is smaller than the sum of its proper divisors (36567601280).

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

22044341440 is an equidigital number, since it uses as much as digits as its factorization.

22044341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 800 counting only the distinct ones).

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

Adding to 22044341440 its reverse (4414344022), we get a palindrome (26458685462).

The spelling of 22044341440 in words is "twenty-two billion, forty-four million, three hundred forty-one thousand, four hundred forty".