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23302240 = 2551317659
BaseRepresentation
bin101100011100…
…1000001100000
31121211212122221
41120321001200
521431132430
62151240424
7402031363
oct130710140
947755587
1023302240
1112176355
127979114
134a9b510
1431480da
1520a457a
hex1639060

23302240 has 96 divisors (see below), whose sum is σ = 62868960. Its totient is φ = 8085504.

The previous prime is 23302229. The next prime is 23302249. The reversal of 23302240 is 4220332.

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 (23302249) 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, 35031 + ... + 35689.

It is an arithmetic number, because the mean of its divisors is an integer number (654885).

Almost surely, 223302240 is an apocalyptic number.

23302240 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 23302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31434480).

23302240 is an abundant number, since it is smaller than the sum of its proper divisors (39566720).

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

23302240 is a wasteful number, since it uses less digits than its factorization.

23302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 23302240 is about 4827.2393767038. The cubic root of 23302240 is about 285.6269771325.

Adding to 23302240 its reverse (4220332), we get a palindrome (27522572).

The spelling of 23302240 in words is "twenty-three million, three hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 65 68 80 85 104 130 136 160 170 208 221 260 272 340 416 442 520 544 659 680 884 1040 1105 1318 1360 1768 2080 2210 2636 2720 3295 3536 4420 5272 6590 7072 8567 8840 10544 11203 13180 17134 17680 21088 22406 26360 34268 35360 42835 44812 52720 56015 68536 85670 89624 105440 112030 137072 145639 171340 179248 224060 274144 291278 342680 358496 448120 582556 685360 728195 896240 1165112 1370720 1456390 1792480 2330224 2912780 4660448 5825560 11651120 23302240