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23533323040 = 255178997213
BaseRepresentation
bin10101111010101100…
…100000001100100000
32020202002002200021001
4111322230200030200
5341144012314130
614451104441344
71462114642153
oct257254401440
966662080231
1023533323040
119a86a46a07
124689319254
1322b0710926
1411d3679c9a
1592b05b6ca
hex57ab20320

23533323040 has 96 divisors (see below), whose sum is σ = 59529965040. Its totient is φ = 8759967744.

The previous prime is 23533323029. The next prime is 23533323053. The reversal of 23533323040 is 4032333532.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8579946384 + 14953376656 = 92628^2 + 122284^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193474 + ... + 290686.

Almost surely, 223533323040 is an apocalyptic number.

23533323040 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 23533323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29764982520).

23533323040 is an abundant number, since it is smaller than the sum of its proper divisors (35996642000).

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

23533323040 is a wasteful number, since it uses less digits than its factorization.

23533323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97334 (or 97326 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 28.

Adding to 23533323040 its reverse (4032333532), we get a palindrome (27565656572).

The spelling of 23533323040 in words is "twenty-three billion, five hundred thirty-three million, three hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 89 136 160 170 178 272 340 356 445 544 680 712 890 1360 1424 1513 1780 2720 2848 3026 3560 6052 7120 7565 12104 14240 15130 24208 30260 48416 60520 97213 121040 194426 242080 388852 486065 777704 972130 1555408 1652621 1944260 3110816 3305242 3888520 6610484 7777040 8263105 8651957 13220968 15554080 16526210 17303914 26441936 33052420 34607828 43259785 52883872 66104840 69215656 86519570 132209680 138431312 147083269 173039140 264419360 276862624 294166538 346078280 588333076 692156560 735416345 1176666152 1384313120 1470832690 2353332304 2941665380 4706664608 5883330760 11766661520 23533323040