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2172623040 = 26335735923
BaseRepresentation
bin1000000101111111…
…1001100011000000
312121102011200112000
42001133321203000
513422142414130
6555330504000
7104560663650
oct20137714300
95542150460
102172623040
11a15430935
12507735000
13288167583
14168792360
15cab10260
hex817f98c0

2172623040 has 224 divisors, whose sum is σ = 8759708160. Its totient is φ = 496585728.

The previous prime is 2172623029. The next prime is 2172623051. The reversal of 2172623040 is 403262712.

It is an interprime number because it is at equal distance from previous prime (2172623029) and next prime (2172623051).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2172622995 and 2172623013.

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, 42519 + ... + 78441.

It is an arithmetic number, because the mean of its divisors is an integer number (39105840).

Almost surely, 22172623040 is an apocalyptic number.

2172623040 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 2172623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379854080).

2172623040 is an abundant number, since it is smaller than the sum of its proper divisors (6587085120).

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

2172623040 is a wasteful number, since it uses less digits than its factorization.

2172623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35956 (or 35940 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2172623040 is about 46611.4046130344. The cubic root of 2172623040 is about 1295.1740278837.

Adding to 2172623040 its reverse (403262712), we get a palindrome (2575885752).

The spelling of 2172623040 in words is "two billion, one hundred seventy-two million, six hundred twenty-three thousand, forty".