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4422231840 = 2535133122861
BaseRepresentation
bin1000001111001010…
…11110011100100000
3102102012012122122110
410013211132130200
533024042404330
62010451435320
7214405231125
oct40745363440
912365178573
104422231840
11196a264264
12a34bb5b40
13556248240
142dd46474c
151ad37adb0
hex10795e720

4422231840 has 192 divisors, whose sum is σ = 15486170112. Its totient is φ = 1053388800.

The previous prime is 4422231799. The next prime is 4422231851. The reversal of 4422231840 is 481322244.

It is a super-2 number, since 2×44222318402 = 39112268893419571200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4422231798 and 4422231807.

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, 182010 + ... + 204870.

It is an arithmetic number, because the mean of its divisors is an integer number (80657136).

Almost surely, 24422231840 is an apocalyptic number.

4422231840 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 4422231840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7743085056).

4422231840 is an abundant number, since it is smaller than the sum of its proper divisors (11063938272).

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

4422231840 is a wasteful number, since it uses less digits than its factorization.

4422231840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22923 (or 22915 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 4422231840 is about 66499.8634585064. The cubic root of 4422231840 is about 1641.3977574036.

The spelling of 4422231840 in words is "four billion, four hundred twenty-two million, two hundred thirty-one thousand, eight hundred forty".