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2210801040 = 243457174761
BaseRepresentation
bin1000001111000110…
…0010010110010000
312201002000022220000
42003301202112100
514011431113130
61003213050000
7105533333040
oct20361422620
95632008800
102210801040
11a34a375a8
12518486900
132930439c6
1416d88d720
15ce152260
hex83c62590

2210801040 has 800 divisors, whose sum is σ = 9644811264. Its totient is φ = 457850880.

The previous prime is 2210801039. The next prime is 2210801041. The reversal of 2210801040 is 401080122.

It is an interprime number because it is at equal distance from previous prime (2210801039) and next prime (2210801041).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2210801041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36242610 + ... + 36242670.

Almost surely, 22210801040 is an apocalyptic number.

2210801040 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 2210801040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4822405632).

2210801040 is an abundant number, since it is smaller than the sum of its proper divisors (7434010224).

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

2210801040 is a wasteful number, since it uses less digits than its factorization.

2210801040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2210801040 is about 47019.1560962125. The cubic root of 2210801040 is about 1302.7164185660.

Adding to 2210801040 its reverse (401080122), we get a palindrome (2611881162).

The spelling of 2210801040 in words is "two billion, two hundred ten million, eight hundred one thousand, forty".