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2023204000 = 25531729753
BaseRepresentation
bin111100010010111…
…1010010010100000
312020000000102010111
41320211322102200
513120420012000
6532432141104
7101064643636
oct17045722240
95200012114
102023204000
11949056124
12485697794
1326320cc3c
141529b9356
15bc947cba
hex7897a4a0

2023204000 has 96 divisors (see below), whose sum is σ = 5263601616. Its totient is φ = 761651200.

The previous prime is 2023203991. The next prime is 2023204009. The reversal of 2023204000 is 4023202.

It is an interprime number because it is at equal distance from previous prime (2023203991) and next prime (2023204009).

It can be written as a sum of positive squares in 8 ways, for example, as 730945296 + 1292258704 = 27036^2 + 35948^2 .

It is not an unprimeable number, because it can be changed into a prime (2023204009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53124 + ... + 82876.

Almost surely, 22023204000 is an apocalyptic number.

2023204000 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 2023204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631800808).

2023204000 is an abundant number, since it is smaller than the sum of its proper divisors (3240397616).

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

2023204000 is a wasteful number, since it uses less digits than its factorization.

2023204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29795 (or 29777 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2023204000 is about 44980.0400177679. The cubic root of 2023204000 is about 1264.7748613794.

Adding to 2023204000 its reverse (4023202), we get a palindrome (2027227202).

The spelling of 2023204000 in words is "two billion, twenty-three million, two hundred four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 17000 29753 34000 59506 68000 119012 148765 238024 297530 476048 505801 595060 743825 952096 1011602 1190120 1487650 2023204 2380240 2529005 2975300 3719125 4046408 4760480 5058010 5950600 7438250 8092816 10116020 11901200 12645025 14876500 16185632 20232040 23802400 25290050 29753000 40464080 50580100 59506000 63225125 80928160 101160200 119012000 126450250 202320400 252900500 404640800 505801000 1011602000 2023204000