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23061120228 = 22341753197401
BaseRepresentation
bin10101011110100011…
…001100010011100100
32012112011120021210000
4111132203030103210
5334212121321403
614332155501300
71444322200446
oct253643142344
965464507700
1023061120228
119864445a53
124577157830
13223693bc93
14118aa7c496
158ee8847a3
hex55e8cc4e4

23061120228 has 240 divisors, whose sum is σ = 65530113264. Its totient is φ = 7044710400.

The previous prime is 23061120221. The next prime is 23061120233. The reversal of 23061120228 is 82202116032.

23061120228 is a `hidden beast` number, since 2 + 3 + 0 + 611 + 20 + 2 + 28 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14736017664 + 8325102564 = 121392^2 + 91242^2 .

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

It is not an unprimeable number, because it can be changed into a prime (23061120221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57508828 + ... + 57509228.

Almost surely, 223061120228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23061120228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32765056632).

23061120228 is an abundant number, since it is smaller than the sum of its proper divisors (42468993036).

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

23061120228 is a wasteful number, since it uses less digits than its factorization.

23061120228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 23061120228 in words is "twenty-three billion, sixty-one million, one hundred twenty thousand, two hundred twenty-eight".