Search a number
-
+
23031316 = 22711374347
BaseRepresentation
bin101011111011…
…0111000010100
31121100010000201
41113312320110
521344000231
62141350244
7366522460
oct127667024
947303021
1023031316
1112000850
127868384
134a050c9
1430b74a0
15204e161
hex15f6e14

23031316 has 96 divisors (see below), whose sum is σ = 53932032. Its totient is φ = 8346240.

The previous prime is 23031313. The next prime is 23031319. The reversal of 23031316 is 61313032.

23031316 = T1 + T2 + ... + T516.

23031316 is a nontrivial binomial coefficient, being equal to C(518, 3).

It is an interprime number because it is at equal distance from previous prime (23031313) and next prime (23031319).

It is a junction number, because it is equal to n+sod(n) for n = 23031293 and 23031302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23031313) by changing a digit.

It is the 516-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490005 + ... + 490051.

It is an arithmetic number, because the mean of its divisors is an integer number (561792).

Almost surely, 223031316 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 23031316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26966016).

23031316 is an abundant number, since it is smaller than the sum of its proper divisors (30900716).

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

23031316 is a wasteful number, since it uses less digits than its factorization.

23031316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 23031316 is about 4799.0953314140. The cubic root of 23031316 is about 284.5157097956.

Adding to 23031316 its reverse (61313032), we get a palindrome (84344348).

The spelling of 23031316 in words is "twenty-three million, thirty-one thousand, three hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 37 43 44 47 74 77 86 94 148 154 172 188 259 301 308 329 407 473 517 518 602 658 814 946 1034 1036 1204 1316 1591 1628 1739 1892 2021 2068 2849 3182 3311 3478 3619 4042 5698 6364 6622 6956 7238 8084 11137 11396 12173 13244 14147 14476 17501 19129 22231 22274 24346 28294 35002 38258 44462 44548 48692 56588 70004 74777 76516 88924 122507 133903 149554 155617 245014 267806 299108 311234 490028 523439 535612 622468 822547 1046878 1645094 2093756 3290188 5757829 11515658 23031316