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2023069920 = 253531791721
BaseRepresentation
bin111100010010101…
…1001100011100000
312012222202121012120
41320211121203200
513120401214140
6532425224240
7101063545014
oct17045314340
95188677176
102023069920
11948a74413
12485632080
13263193bc1
14152982544
15bc91d1d0
hex789598e0

2023069920 has 192 divisors, whose sum is σ = 6665379840. Its totient is φ = 515174400.

The previous prime is 2023069913. The next prime is 2023069933. The reversal of 2023069920 is 299603202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1174660 + ... + 1176380.

It is an arithmetic number, because the mean of its divisors is an integer number (34715520).

Almost surely, 22023069920 is an apocalyptic number.

2023069920 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 2023069920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332689920).

2023069920 is an abundant number, since it is smaller than the sum of its proper divisors (4642309920).

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

2023069920 is a wasteful number, since it uses less digits than its factorization.

2023069920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 2023069920 is about 44978.5495542042. The cubic root of 2023069920 is about 1264.7469214123.

It can be divided in two parts, 202306 and 9920, that added together give a triangular number (212226 = T651).

The spelling of 2023069920 in words is "two billion, twenty-three million, sixty-nine thousand, nine hundred twenty".