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23353228440 = 23325178294603
BaseRepresentation
bin10101101111111101…
…011111110010011000
32020021112012220220200
4111233331133302120
5340311411302230
614421152422200
71454500111053
oct255775376230
966245186820
1023353228440
1199a431a1a3
124638b47960
132282305989
1411b7799a9a
1591a335160
hex56ff5fc98

23353228440 has 192 divisors, whose sum is σ = 80476999200. Its totient is φ = 5852860416.

The previous prime is 23353228439. The next prime is 23353228463. The reversal of 23353228440 is 4482235332.

23353228440 is a `hidden beast` number, since 2 + 3 + 3 + 532 + 2 + 84 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23353228395 and 23353228404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5071179 + ... + 5075781.

Almost surely, 223353228440 is an apocalyptic number.

23353228440 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 23353228440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40238499600).

23353228440 is an abundant number, since it is smaller than the sum of its proper divisors (57123770760).

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

23353228440 is a wasteful number, since it uses less digits than its factorization.

23353228440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5466 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 23353228440 in words is "twenty-three billion, three hundred fifty-three million, two hundred twenty-eight thousand, four hundred forty".