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2331341232 = 243117162189
BaseRepresentation
bin1000101011110101…
…0111000110110000
320000110211101221120
42022331113012300
514233310404412
61023200422240
7111526034133
oct21275270660
96013741846
102331341232
11a96a881a0
12550917980
132b1cc976c
141818aa21a
15d9a12b8c
hex8af571b0

2331341232 has 80 divisors (see below), whose sum is σ = 6662787840. Its totient is φ = 696505600.

The previous prime is 2331341197. The next prime is 2331341239. The reversal of 2331341232 is 2321431332.

2331341232 is digitally balanced in base 2 and base 4, because in such bases 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 (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2331341239) 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, 6394 + ... + 68582.

It is an arithmetic number, because the mean of its divisors is an integer number (83284848).

Almost surely, 22331341232 is an apocalyptic number.

2331341232 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 2331341232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3331393920).

2331341232 is an abundant number, since it is smaller than the sum of its proper divisors (4331446608).

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

2331341232 is a wasteful number, since it uses less digits than its factorization.

2331341232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62282 (or 62276 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 2331341232 is about 48283.9645431069. The cubic root of 2331341232 is about 1325.9748339625.

Adding to 2331341232 its reverse (2321431332), we get a palindrome (4652772564).

The spelling of 2331341232 in words is "two billion, three hundred thirty-one million, three hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 132 142 176 213 264 284 426 528 568 781 852 1136 1562 1704 2343 3124 3408 4686 6248 9372 12496 18744 37488 62189 124378 186567 248756 373134 497512 684079 746268 995024 1368158 1492536 2052237 2736316 2985072 4104474 4415419 5472632 8208948 8830838 10945264 13246257 16417896 17661676 26492514 32835792 35323352 48569609 52985028 70646704 97139218 105970056 145708827 194278436 211940112 291417654 388556872 582835308 777113744 1165670616 2331341232