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2023332432 = 2431137910111
BaseRepresentation
bin111100010011001…
…1001101001010000
312020000020221022020
41320212121221100
513120433114212
6532435011440
7101066020242
oct17046315120
95200227266
102023332432
11949133670
12485739b80
13263256534
14152a10092
15bc970d8c
hex78999a50

2023332432 has 80 divisors (see below), whose sum is σ = 5717729280. Its totient is φ = 611452800.

The previous prime is 2023332413. The next prime is 2023332433. The reversal of 2023332432 is 2342333202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023332433) 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, 195057 + ... + 205167.

It is an arithmetic number, because the mean of its divisors is an integer number (71471616).

Almost surely, 22023332432 is an apocalyptic number.

2023332432 is a gapful number since it is divisible by the number (22) 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 2023332432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858864640).

2023332432 is an abundant number, since it is smaller than the sum of its proper divisors (3694396848).

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

2023332432 is a wasteful number, since it uses less digits than its factorization.

2023332432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10512 (or 10506 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 2023332432 is about 44981.4676505781. The cubic root of 2023332432 is about 1264.8016232430.

Adding to 2023332432 its reverse (2342333202), we get a palindrome (4365665634).

The spelling of 2023332432 in words is "two billion, twenty-three million, three hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 379 528 758 1137 1516 2274 3032 4169 4548 6064 8338 9096 10111 12507 16676 18192 20222 25014 30333 33352 40444 50028 60666 66704 80888 100056 111221 121332 161776 200112 222442 242664 333663 444884 485328 667326 889768 1334652 1779536 2669304 3832069 5338608 7664138 11496207 15328276 22992414 30656552 42152759 45984828 61313104 84305518 91969656 126458277 168611036 183939312 252916554 337222072 505833108 674444144 1011666216 2023332432