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2232400143040 = 26531596756929
BaseRepresentation
bin100000011111000101011…
…010101110001011000000
321220102012210201100010021
4200133011122232023000
5243033423414034130
64425314522343224
7320166646061344
oct40370532561300
97812183640107
102232400143040
11790834756001
123007a235ab14
1313268c284402
147a097a75624
153d10ab2e37a
hex207c56ae2c0

2232400143040 has 224 divisors, whose sum is σ = 5663778969600. Its totient is φ = 836814274560.

The previous prime is 2232400143019. The next prime is 2232400143067. The reversal of 2232400143040 is 403410042322.

It is a happy number.

It is a super-3 number, since 3×22324001430403 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2232400142996 and 2232400143014.

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, 39185296 + ... + 39242224.

Almost surely, 22232400143040 is an apocalyptic number.

2232400143040 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 2232400143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831889484800).

2232400143040 is an abundant number, since it is smaller than the sum of its proper divisors (3431378826560).

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

2232400143040 is a wasteful number, since it uses less digits than its factorization.

2232400143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57103 (or 57093 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 2232400143040 its reverse (403410042322), we get a palindrome (2635810185362).

The spelling of 2232400143040 in words is "two trillion, two hundred thirty-two billion, four hundred million, one hundred forty-three thousand, forty".