[go: up one dir, main page]

Search a number
-
+
23314440 = 2335375989
BaseRepresentation
bin101100011110…
…0000000001000
31121212111101210
41120330000020
521432030230
62151413120
7402112062
oct130740010
947774353
1023314440
1112184536
1279841a0
134aa3c36
14314c732
1520a7eb0
hex163c008

23314440 has 128 divisors (see below), whose sum is σ = 73872000. Its totient is φ = 5879808.

The previous prime is 23314373. The next prime is 23314441. The reversal of 23314440 is 4441332.

It is a super-2 number, since 2×233144402 = 1087126225027200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23314441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261916 + ... + 262004.

It is an arithmetic number, because the mean of its divisors is an integer number (577125).

Almost surely, 223314440 is an apocalyptic number.

23314440 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 23314440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36936000).

23314440 is an abundant number, since it is smaller than the sum of its proper divisors (50557560).

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

23314440 is a wasteful number, since it uses less digits than its factorization.

23314440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 23314440 is about 4828.5028735624. The cubic root of 23314440 is about 285.6768155624.

Adding to 23314440 its reverse (4441332), we get a palindrome (27755772).

The spelling of 23314440 in words is "twenty-three million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 59 60 74 89 111 118 120 148 177 178 185 222 236 267 295 296 354 356 370 444 445 472 534 555 590 708 712 740 885 888 890 1068 1110 1180 1335 1416 1480 1770 1780 2136 2183 2220 2360 2670 3293 3540 3560 4366 4440 5251 5340 6549 6586 7080 8732 9879 10502 10680 10915 13098 13172 15753 16465 17464 19758 21004 21830 26196 26255 26344 31506 32745 32930 39516 42008 43660 49395 52392 52510 63012 65490 65860 78765 79032 87320 98790 105020 126024 130980 131720 157530 194287 197580 210040 261960 315060 388574 395160 582861 630120 777148 971435 1165722 1554296 1942870 2331444 2914305 3885740 4662888 5828610 7771480 11657220 23314440