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23255440 = 2451359379
BaseRepresentation
bin101100010110…
…1100110010000
31121202111110121
41120231212100
521423133230
62150240024
7401445055
oct130554620
947674417
1023255440
111214417a
127956014
134a83120
14313502c
15209577a
hex162d990

23255440 has 80 divisors (see below), whose sum is σ = 59371200. Its totient is φ = 8418816.

The previous prime is 23255429. The next prime is 23255471. The reversal of 23255440 is 4455232.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61171 + ... + 61549.

It is an arithmetic number, because the mean of its divisors is an integer number (742140).

Almost surely, 223255440 is an apocalyptic number.

23255440 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 23255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29685600).

23255440 is an abundant number, since it is smaller than the sum of its proper divisors (36115760).

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

23255440 is a wasteful number, since it uses less digits than its factorization.

23255440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 23255440 is about 4822.3894492254. The cubic root of 23255440 is about 285.4356321305.

The spelling of 23255440 in words is "twenty-three million, two hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 59 65 80 104 118 130 208 236 260 295 379 472 520 590 758 767 944 1040 1180 1516 1534 1895 2360 3032 3068 3790 3835 4720 4927 6064 6136 7580 7670 9854 12272 15160 15340 19708 22361 24635 30320 30680 39416 44722 49270 61360 78832 89444 98540 111805 178888 197080 223610 290693 357776 394160 447220 581386 894440 1162772 1453465 1788880 2325544 2906930 4651088 5813860 11627720 23255440