Search a number
-
+
23403202032 = 2437225393919
BaseRepresentation
bin10101110010111100…
…001000010111110000
32020102000020211210110
4111302330020113300
5340412204431112
614430135501320
71455644635500
oct256274102760
966360224713
1023403202032
119a1a552091
124651827840
13228c782052
1411c0287a00
1591e90713c
hex572f085f0

23403202032 has 120 divisors (see below), whose sum is σ = 70374662400. Its totient is φ = 6682290048.

The previous prime is 23403202013. The next prime is 23403202091. The reversal of 23403202032 is 23020230432.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5969769 + ... + 5973687.

It is an arithmetic number, because the mean of its divisors is an integer number (586455520).

Almost surely, 223403202032 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 23403202032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35187331200).

23403202032 is an abundant number, since it is smaller than the sum of its proper divisors (46971460368).

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

23403202032 is a wasteful number, since it uses less digits than its factorization.

23403202032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6483 (or 6470 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 23403202032 its reverse (23020230432), we get a palindrome (46423432464).

The spelling of 23403202032 in words is "twenty-three billion, four hundred three million, two hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 2539 3919 5078 7617 7838 10156 11757 15234 15676 17773 20312 23514 27433 30468 31352 35546 40624 47028 53319 54866 60936 62704 71092 82299 94056 106638 109732 121872 124411 142184 164598 188112 192031 213276 219464 248822 284368 329196 373233 384062 426552 438928 497644 576093 658392 746466 768124 853104 995288 1152186 1316784 1492932 1536248 1990576 2304372 2985864 3072496 4608744 5971728 9217488 9950341 19900682 29851023 39801364 59702046 69652387 79602728 119404092 139304774 159205456 208957161 238808184 278609548 417914322 477616368 487566709 557219096 835828644 975133418 1114438192 1462700127 1671657288 1950266836 2925400254 3343314576 3900533672 5850800508 7801067344 11701601016 23403202032