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2023010430 = 235736726249
BaseRepresentation
bin111100010010100…
…1011000001111110
312012222122120121020
41320211023001332
513120342313210
6532424045010
7101063206410
oct17045130176
95188576536
102023010430
11948a33751
12485603766
13263172abc
141529689b0
15bc90a770
hex7894b07e

2023010430 has 64 divisors (see below), whose sum is σ = 5564160000. Its totient is φ = 461124864.

The previous prime is 2023010419. The next prime is 2023010453. The reversal of 2023010430 is 340103202.

2023010430 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 63946 + ... + 90194.

It is an arithmetic number, because the mean of its divisors is an integer number (86940000).

Almost surely, 22023010430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023010430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782080000).

2023010430 is an abundant number, since it is smaller than the sum of its proper divisors (3541149570).

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

2023010430 is a wasteful number, since it uses less digits than its factorization.

2023010430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26633.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2023010430 is about 44977.8882341090. Note that the first 3 decimals coincide. The cubic root of 2023010430 is about 1264.7345243236.

Adding to 2023010430 its reverse (340103202), we get a palindrome (2363113632).

The spelling of 2023010430 in words is "two billion, twenty-three million, ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 367 734 1101 1835 2202 2569 3670 5138 5505 7707 11010 12845 15414 25690 26249 38535 52498 77070 78747 131245 157494 183743 262490 367486 393735 551229 787470 918715 1102458 1837430 2756145 5512290 9633383 19266766 28900149 48166915 57800298 67433681 96333830 134867362 144500745 202301043 289001490 337168405 404602086 674336810 1011505215 2023010430