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2023202000 = 24531011601
BaseRepresentation
bin111100010010111…
…1001110011010000
312020000000022101102
41320211321303100
513120414431000
6532432123532
7101064635051
oct17045716320
95200008342
102023202000
11949054676
124856965a8
1326320c061
141529b8728
15bc9473d5
hex78979cd0

2023202000 has 40 divisors (see below), whose sum is σ = 4892107272. Its totient is φ = 809280000.

The previous prime is 2023201991. The next prime is 2023202021. The reversal of 2023202000 is 2023202.

It can be written as a sum of positive squares in 4 ways, for example, as 157653136 + 1865548864 = 12556^2 + 43192^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-6 number, since 6×20232020006 (a number of 57 digits) contains 666666 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503801 + ... + 507800.

Almost surely, 22023202000 is an apocalyptic number.

2023202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023202000 is an abundant number, since it is smaller than the sum of its proper divisors (2868905272).

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

2023202000 is a wasteful number, since it uses less digits than its factorization.

2023202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011624 (or 1011608 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2023202000 is about 44980.0177856790. The cubic root of 2023202000 is about 1264.7744446229.

Adding to 2023202000 its reverse (2023202), we get a palindrome (2025225202).

2023202000 divided by its reverse (2023202) gives a cube (1000 = 103).

The spelling of 2023202000 in words is "two billion, twenty-three million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1011601 2023202 4046404 5058005 8092808 10116010 16185616 20232020 25290025 40464040 50580050 80928080 101160100 126450125 202320200 252900250 404640400 505800500 1011601000 2023202000