Search a number
-
+
23142702 = 23112127251
BaseRepresentation
bin101100001001…
…0000100101110
31121112202211010
41120102010232
521411031302
62144010050
7400465302
oct130220456
947482733
1023142702
1112077500
127900926
134a43a0b
143105d02
15207216c
hex161212e

23142702 has 48 divisors (see below), whose sum is σ = 51480576. Its totient is φ = 6930000.

The previous prime is 23142701. The next prime is 23142719. The reversal of 23142702 is 20724132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23142701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92077 + ... + 92327.

It is an arithmetic number, because the mean of its divisors is an integer number (1072512).

Almost surely, 223142702 is an apocalyptic number.

23142702 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23142702, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25740288).

23142702 is an abundant number, since it is smaller than the sum of its proper divisors (28337874).

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

23142702 is a wasteful number, since it uses less digits than its factorization.

23142702 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 23142702 is about 4810.6862296350. The cubic root of 23142702 is about 284.9736386821.

Adding to 23142702 its reverse (20724132), we get a palindrome (43866834).

The spelling of 23142702 in words is "twenty-three million, one hundred forty-two thousand, seven hundred two".

Divisors: 1 2 3 6 11 22 33 66 121 127 242 251 254 363 381 502 726 753 762 1397 1506 2761 2794 4191 5522 8283 8382 15367 16566 30371 30734 31877 46101 60742 63754 91113 92202 95631 182226 191262 350647 701294 1051941 2103882 3857117 7714234 11571351 23142702