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4420931000 = 235310940559
BaseRepresentation
bin1000001111000001…
…00000110110111000
3102102002202120020012
410013200200312320
533023224243000
62010403521052
7214361202443
oct40740406670
912362676205
104420931000
111969555992
12a34689188
13555bb1105
142dd20665a
151ad1c0735
hex107820db8

4420931000 has 64 divisors (see below), whose sum is σ = 10440144000. Its totient is φ = 1752105600.

The previous prime is 4420930999. The next prime is 4420931003. The reversal of 4420931000 is 1390244.

It is a super-2 number, since 2×44209310002 = 39089261813522000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4420931003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88721 + ... + 129279.

It is an arithmetic number, because the mean of its divisors is an integer number (163127250).

Almost surely, 24420931000 is an apocalyptic number.

4420931000 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 4420931000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5220072000).

4420931000 is an abundant number, since it is smaller than the sum of its proper divisors (6019213000).

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

4420931000 is a wasteful number, since it uses less digits than its factorization.

4420931000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40689 (or 40675 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 4420931000 is about 66490.0819671626. The cubic root of 4420931000 is about 1641.2367975586.

The spelling of 4420931000 in words is "four billion, four hundred twenty million, nine hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 125 200 218 250 436 500 545 872 1000 1090 2180 2725 4360 5450 10900 13625 21800 27250 40559 54500 81118 109000 162236 202795 324472 405590 811180 1013975 1622360 2027950 4055900 4420931 5069875 8111800 8841862 10139750 17683724 20279500 22104655 35367448 40559000 44209310 88418620 110523275 176837240 221046550 442093100 552616375 884186200 1105232750 2210465500 4420931000