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2023223132 = 227219599907
BaseRepresentation
bin111100010010111…
…1110111101011100
312020000001101101002
41320211332331130
513120421120012
6532432405432
7101065053500
oct17045767534
95200041332
102023223132
11949069537
124856a6878
13263218868
141529c2300
15bc94d7c2
hex7897ef5c

2023223132 has 72 divisors (see below), whose sum is σ = 4347504000. Its totient is φ = 819183456.

The previous prime is 2023223123. The next prime is 2023223177. The reversal of 2023223132 is 2313223202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2230223 + ... + 2231129.

It is an arithmetic number, because the mean of its divisors is an integer number (60382000).

Almost surely, 22023223132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173752000).

2023223132 is an abundant number, since it is smaller than the sum of its proper divisors (2324280868).

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

2023223132 is a wasteful number, since it uses less digits than its factorization.

2023223132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2023223132 is about 44980.2526893747. The cubic root of 2023223132 is about 1264.7788480587.

Adding to 2023223132 its reverse (2313223202), we get a palindrome (4336446334).

The spelling of 2023223132 in words is "two billion, twenty-three million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 532 599 907 931 1198 1814 1862 2396 3628 3724 4193 6349 8386 11381 12698 16772 17233 22762 25396 29351 34466 44443 45524 58702 68932 79667 88886 117404 120631 159334 177772 241262 318668 482524 543293 557669 844417 1086586 1115338 1688834 2173172 2230676 3377668 3803051 7606102 10322567 15212204 20645134 26621357 41290268 53242714 72257969 106485428 144515938 289031876 505805783 1011611566 2023223132