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2023201000 = 23532023201
BaseRepresentation
bin111100010010111…
…1001100011101000
312020000000021000101
41320211321203220
513120414413000
6532432115144
7101064632122
oct17045714350
95200007011
102023201000
11949053947
12485695ab4
1326320b772
141529b8212
15bc946e6a
hex789798e8

2023201000 has 32 divisors (see below), whose sum is σ = 4734292680. Its totient is φ = 809280000.

The previous prime is 2023200967. The next prime is 2023201007. The reversal of 2023201000 is 1023202.

It can be written as a sum of positive squares in 4 ways, for example, as 910711684 + 1112489316 = 30178^2 + 33354^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2023201007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1010601 + ... + 1012600.

Almost surely, 22023201000 is an apocalyptic number.

2023201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023201000 is an abundant number, since it is smaller than the sum of its proper divisors (2711091680).

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

2023201000 is a wasteful number, since it uses less digits than its factorization.

2023201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023222 (or 2023208 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2023201000 is about 44980.0066696305. The cubic root of 2023201000 is about 1264.7742362445.

Adding to 2023201000 its reverse (1023202), we get a palindrome (2024224202).

The spelling of 2023201000 in words is "two billion, twenty-three million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2023201 4046402 8092804 10116005 16185608 20232010 40464020 50580025 80928040 101160050 202320100 252900125 404640200 505800250 1011600500 2023201000