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1023229152 = 2533112331151
BaseRepresentation
bin111100111111010…
…011110011100000
32122022101102112000
4330333103303200
54043421313102
6245311204000
734233206241
oct7477236340
92568342460
101023229152
1148564a230
12246816600
13133cb134a
1499c76cc8
155ec6e01c
hex3cfd3ce0

1023229152 has 384 divisors, whose sum is σ = 3530096640. Its totient is φ = 285120000.

The previous prime is 1023229147. The next prime is 1023229177. The reversal of 1023229152 is 2519223201.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6776277 + ... + 6776427.

It is an arithmetic number, because the mean of its divisors is an integer number (9192960).

Almost surely, 21023229152 is an apocalyptic number.

1023229152 is a gapful number since it is divisible by the number (12) 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 1023229152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765048320).

1023229152 is an abundant number, since it is smaller than the sum of its proper divisors (2506867488).

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

1023229152 is a wasteful number, since it uses less digits than its factorization.

1023229152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1023229152 is about 31987.9532324280. The cubic root of 1023229152 is about 1007.6838577738.

The spelling of 1023229152 in words is "one billion, twenty-three million, two hundred twenty-nine thousand, one hundred fifty-two".