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252022720 = 2656112911
BaseRepresentation
bin11110000010110…
…00111111000000
3122120020002011211
433001120333000
51004004211340
641001415504
76150105055
oct1701307700
9576202154
10252022720
1111a295444
127049a594
13402a0291
142568502c
15171d35ea
hexf058fc0

252022720 has 56 divisors (see below), whose sum is σ = 610014528. Its totient is φ = 99148800.

The previous prime is 252022709. The next prime is 252022723. The reversal of 252022720 is 27220252.

It is a happy number.

252022720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 252022691 and 252022700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252022723) 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 7 ways as a sum of consecutive naturals, for example, 13065 + ... + 25975.

Almost surely, 2252022720 is an apocalyptic number.

252022720 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 252022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305007264).

252022720 is an abundant number, since it is smaller than the sum of its proper divisors (357991808).

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

252022720 is a wasteful number, since it uses less digits than its factorization.

252022720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12989 (or 12979 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 252022720 is about 15875.2234629942. The cubic root of 252022720 is about 631.6549416939.

Adding to 252022720 its reverse (27220252), we get a palindrome (279242972).

The spelling of 252022720 in words is "two hundred fifty-two million, twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1220 1952 2440 3904 4880 9760 12911 19520 25822 51644 64555 103288 129110 206576 258220 413152 516440 787571 826304 1032880 1575142 2065760 3150284 3937855 4131520 6300568 7875710 12601136 15751420 25202272 31502840 50404544 63005680 126011360 252022720