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1023253220 = 2251110146051
BaseRepresentation
bin111100111111011…
…001101011100100
32122022102122112102
4330333121223210
54043423100340
6245311511232
734233336353
oct7477315344
92568378472
101023253220
11485666320
12246828518
13133cbc2a2
1499c8199a
155ec76215
hex3cfd9ae4

1023253220 has 48 divisors (see below), whose sum is σ = 2367441216. Its totient is φ = 368400000.

The previous prime is 1023253213. The next prime is 1023253243. The reversal of 1023253220 is 223523201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1023253192 and 1023253201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 806 + ... + 45245.

It is an arithmetic number, because the mean of its divisors is an integer number (49321692).

Almost surely, 21023253220 is an apocalyptic number.

1023253220 is a gapful number since it is divisible by the number (10) 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 1023253220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183720608).

1023253220 is an abundant number, since it is smaller than the sum of its proper divisors (1344187996).

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

1023253220 is a wasteful number, since it uses less digits than its factorization.

1023253220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46172 (or 46170 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1023253220 is about 31988.3294343421. The cubic root of 1023253220 is about 1007.6917584950.

Adding to 1023253220 its reverse (223523201), we get a palindrome (1246776421).

The spelling of 1023253220 in words is "one billion, twenty-three million, two hundred fifty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 22220 46051 92102 184204 230255 460510 506561 921020 1013122 2026244 2532805 4651151 5065610 9302302 10131220 18604604 23255755 46511510 51162661 93023020 102325322 204650644 255813305 511626610 1023253220