Search a number
-
+
23200301880 = 23345717193167
BaseRepresentation
bin10101100110110110…
…001000001100111000
32012212212110110010000
4111212312020030320
5340003234130010
614354050553000
71450632212040
oct254666101470
965785413100
1023200301880
119925a69208
1245b5898760
1322597209a2
1411a134c720
1590bbc87c0
hex566d88338

23200301880 has 640 divisors, whose sum is σ = 99358617600. Its totient is φ = 4726812672.

The previous prime is 23200301879. The next prime is 23200301881. The reversal of 23200301880 is 8810300232.

It is an interprime number because it is at equal distance from previous prime (23200301879) and next prime (23200301881).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23200301881) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7324057 + ... + 7327223.

It is an arithmetic number, because the mean of its divisors is an integer number (155247840).

Almost surely, 223200301880 is an apocalyptic number.

23200301880 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 23200301880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49679308800).

23200301880 is an abundant number, since it is smaller than the sum of its proper divisors (76158315720).

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

23200301880 is a wasteful number, since it uses less digits than its factorization.

23200301880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233 (or 3220 counting only the distinct ones).

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

The spelling of 23200301880 in words is "twenty-three billion, two hundred million, three hundred one thousand, eight hundred eighty".