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1146525220 = 2251710930937
BaseRepresentation
bin100010001010110…
…1001011000100100
32221220101111221001
41010111221120210
54322002301340
6305434003044
740261206061
oct10425513044
92856344831
101146525220
11539202405
1227bb76484
131536c05b9
14ac3adc68
156a9c629a
hex44569624

1146525220 has 48 divisors (see below), whose sum is σ = 2572804080. Its totient is φ = 427659264.

The previous prime is 1146525209. The next prime is 1146525221. The reversal of 1146525220 is 225256411.

It can be written as a sum of positive squares in 8 ways, for example, as 1920996 + 1144604224 = 1386^2 + 33832^2 .

It is not an unprimeable number, because it can be changed into a prime (1146525221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21592 + ... + 52528.

It is an arithmetic number, because the mean of its divisors is an integer number (53600085).

Almost surely, 21146525220 is an apocalyptic number.

1146525220 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 1146525220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286402040).

1146525220 is an abundant number, since it is smaller than the sum of its proper divisors (1426278860).

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

1146525220 is a wasteful number, since it uses less digits than its factorization.

1146525220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31072 (or 31070 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 1146525220 is about 33860.3783203909. The cubic root of 1146525220 is about 1046.6332738928.

The spelling of 1146525220 in words is "one billion, one hundred forty-six million, five hundred twenty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 109 170 218 340 436 545 1090 1853 2180 3706 7412 9265 18530 30937 37060 61874 123748 154685 309370 525929 618740 1051858 2103716 2629645 3372133 5259290 6744266 10518580 13488532 16860665 33721330 57326261 67442660 114652522 229305044 286631305 573262610 1146525220