Search a number
-
+
23005731 = 374373349
BaseRepresentation
bin101011111000…
…0101000100011
31121021210221010
41113300220203
521342140411
62141032003
7366355050
oct127605043
947253833
1023005731
1111a93601
127855603
1349c6578
1430ac027
1520467a6
hex15f0a23

23005731 has 32 divisors (see below), whose sum is σ = 36467200. Its totient is φ = 12628224.

The previous prime is 23005673. The next prime is 23005747. The reversal of 23005731 is 13750032.

It is a happy number.

It is not a de Polignac number, because 23005731 - 26 = 23005667 is a prime.

It is a super-2 number, since 2×230057312 = 1058527317688722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 23005698 and 23005707.

It is not an unprimeable number, because it can be changed into a prime (23005531) 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, 65745 + ... + 66093.

It is an arithmetic number, because the mean of its divisors is an integer number (1139600).

Almost surely, 223005731 is an apocalyptic number.

23005731 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23005731 is a deficient number, since it is larger than the sum of its proper divisors (13461469).

23005731 is a wasteful number, since it uses less digits than its factorization.

23005731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 23005731 is about 4796.4289841506. The cubic root of 23005731 is about 284.4103166057.

Adding to 23005731 its reverse (13750032), we get a palindrome (36755763).

The spelling of 23005731 in words is "twenty-three million, five thousand, seven hundred thirty-one".

Divisors: 1 3 7 21 43 73 129 219 301 349 511 903 1047 1533 2443 3139 7329 9417 15007 21973 25477 45021 65919 76431 105049 178339 315147 535017 1095511 3286533 7668577 23005731