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23225440 = 255789233
BaseRepresentation
bin101100010011…
…0010001100000
31121200222022111
41120212101200
521421203230
62145445104
7401261440
oct130462140
947628274
1023225440
1112123687
127940794
134a72584
143128120
15208b92a
hex1626460

23225440 has 96 divisors (see below), whose sum is σ = 63685440. Its totient is φ = 7839744.

The previous prime is 23225431. The next prime is 23225441. The reversal of 23225440 is 4452232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23225441) 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, 99564 + ... + 99796.

It is an arithmetic number, because the mean of its divisors is an integer number (663390).

Almost surely, 223225440 is an apocalyptic number.

23225440 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 23225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31842720).

23225440 is an abundant number, since it is smaller than the sum of its proper divisors (40460000).

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

23225440 is a wasteful number, since it uses less digits than its factorization.

23225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 23225440 is about 4819.2779542168. The cubic root of 23225440 is about 285.3128400184.

Adding to 23225440 its reverse (4452232), we get a palindrome (27677672).

The spelling of 23225440 in words is "twenty-three million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 89 112 140 160 178 224 233 280 356 445 466 560 623 712 890 932 1120 1165 1246 1424 1631 1780 1864 2330 2492 2848 3115 3262 3560 3728 4660 4984 6230 6524 7120 7456 8155 9320 9968 12460 13048 14240 16310 18640 19936 20737 24920 26096 32620 37280 41474 49840 52192 65240 82948 99680 103685 130480 145159 165896 207370 260960 290318 331792 414740 580636 663584 725795 829480 1161272 1451590 1658960 2322544 2903180 3317920 4645088 5806360 11612720 23225440