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23212240 = 2452571129
BaseRepresentation
bin101100010001…
…1000011010000
31121200022012121
41120203003100
521420242430
62145304024
7401205112
oct130430320
947608177
1023212240
1112114777
127935014
134a6956c
1431233b2
152087a7a
hex16230d0

23212240 has 40 divisors (see below), whose sum is σ = 54226440. Its totient is φ = 9240576.

The previous prime is 23212207. The next prime is 23212247. The reversal of 23212240 is 4221232.

It can be written as a sum of positive squares in 4 ways, for example, as 3640464 + 19571776 = 1908^2 + 4424^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23212247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19996 + ... + 21124.

It is an arithmetic number, because the mean of its divisors is an integer number (1355661).

Almost surely, 223212240 is an apocalyptic number.

23212240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23212240 is an abundant number, since it is smaller than the sum of its proper divisors (31014200).

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

23212240 is a wasteful number, since it uses less digits than its factorization.

23212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 23212240 is about 4817.9082598157. The cubic root of 23212240 is about 285.2587779899.

Adding to 23212240 its reverse (4221232), we get a palindrome (27433472).

The spelling of 23212240 in words is "twenty-three million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 257 514 1028 1129 1285 2056 2258 2570 4112 4516 5140 5645 9032 10280 11290 18064 20560 22580 45160 90320 290153 580306 1160612 1450765 2321224 2901530 4642448 5803060 11606120 23212240