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23208430420 = 225743109113313
BaseRepresentation
bin10101100111010101…
…001000101101010100
32012220102202102101001
4111213111020231110
5340012324233140
614354541113044
71451061255310
oct254725105524
965812672331
1023208430420
11992a61030a
1245b8558784
13225b308786
1411a2466b40
1590c781e9a
hex567548b54

23208430420 has 192 divisors, whose sum is σ = 58212887040. Its totient is φ = 7608287232.

The previous prime is 23208430397. The next prime is 23208430423. The reversal of 23208430420 is 2403480232.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23208430423) 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 63 ways as a sum of consecutive naturals, for example, 74148184 + ... + 74148496.

It is an arithmetic number, because the mean of its divisors is an integer number (303192120).

Almost surely, 223208430420 is an apocalyptic number.

23208430420 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 23208430420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29106443520).

23208430420 is an abundant number, since it is smaller than the sum of its proper divisors (35004456620).

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

23208430420 is a wasteful number, since it uses less digits than its factorization.

23208430420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 23208 and 430420, that added together give a triangular number (453628 = T952).

The spelling of 23208430420 in words is "twenty-three billion, two hundred eight million, four hundred thirty thousand, four hundred twenty".