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23332240 = 2452989113
BaseRepresentation
bin101100100000…
…0010110010000
31121220101211001
41121000112100
521433112430
62152031344
7402215011
oct131002620
947811731
1023332240
1112196948
127992554
134aac079
143155008
1520ad3ca
hex1640590

23332240 has 80 divisors (see below), whose sum is σ = 57250800. Its totient is φ = 8830976.

The previous prime is 23332219. The next prime is 23332249. The reversal of 23332240 is 4223332.

23332240 = T85 + T86 + ... + T519.

It can be written as a sum of positive squares in 8 ways, for example, as 6390784 + 16941456 = 2528^2 + 4116^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (23332249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206424 + ... + 206536.

It is an arithmetic number, because the mean of its divisors is an integer number (715635).

Almost surely, 223332240 is an apocalyptic number.

23332240 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 23332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28625400).

23332240 is an abundant number, since it is smaller than the sum of its proper divisors (33918560).

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

23332240 is a wasteful number, since it uses less digits than its factorization.

23332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 23332240 is about 4830.3457433190. The cubic root of 23332240 is about 285.7494994693.

Adding to 23332240 its reverse (4223332), we get a palindrome (27555572).

The spelling of 23332240 in words is "twenty-three million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 89 113 116 145 178 226 232 290 356 445 452 464 565 580 712 890 904 1130 1160 1424 1780 1808 2260 2320 2581 3277 3560 4520 5162 6554 7120 9040 10057 10324 12905 13108 16385 20114 20648 25810 26216 32770 40228 41296 50285 51620 52432 65540 80456 100570 103240 131080 160912 201140 206480 262160 291653 402280 583306 804560 1166612 1458265 2333224 2916530 4666448 5833060 11666120 23332240