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2172310140 = 22357211135167
BaseRepresentation
bin1000000101111010…
…1101001001111100
312121101120210022010
42001132231021330
513422102411030
6555320051220
7104555221500
oct20136551174
95541523263
102172310140
11a15237840
12507603b10
13288088020
14168710300
15caa9c6b0
hex817ad27c

2172310140 has 288 divisors, whose sum is σ = 8314113024. Its totient is φ = 416586240.

The previous prime is 2172310103. The next prime is 2172310181. The reversal of 2172310140 is 410132712.

2172310140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 417837 + ... + 423003.

It is an arithmetic number, because the mean of its divisors is an integer number (28868448).

Almost surely, 22172310140 is an apocalyptic number.

2172310140 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 2172310140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157056512).

2172310140 is an abundant number, since it is smaller than the sum of its proper divisors (6141802884).

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

2172310140 is a wasteful number, since it uses less digits than its factorization.

2172310140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5217 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 2172310140 is about 46608.0480174830. The cubic root of 2172310140 is about 1295.1118481432. Note that the first 3 decimals are identical.

Adding to 2172310140 its reverse (410132712), we get a palindrome (2582442852).

The spelling of 2172310140 in words is "two billion, one hundred seventy-two million, three hundred ten thousand, one hundred forty".