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23225520 = 2435294771
BaseRepresentation
bin101100010011…
…0010010110000
31121200222102110
41120212102300
521421204040
62145445320
7401261613
oct130462260
947628373
1023225520
111212374a
127940840
134a72616
14312817a
15208b980
hex16264b0

23225520 has 160 divisors (see below), whose sum is σ = 77137920. Its totient is φ = 5770240.

The previous prime is 23225509. The next prime is 23225533. The reversal of 23225520 is 2552232.

23225520 is a nontrivial binomial coefficient, being equal to C(6816, 2).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327085 + ... + 327155.

It is an arithmetic number, because the mean of its divisors is an integer number (482112).

Almost surely, 223225520 is an apocalyptic number.

23225520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23225520 is the 6815-th triangular number and also the 3408-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23225520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38568960).

23225520 is an abundant number, since it is smaller than the sum of its proper divisors (53912400).

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

23225520 is a wasteful number, since it uses less digits than its factorization.

23225520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 23225520 is about 4819.2862542082. The cubic root of 23225520 is about 285.3131676046.

Adding to 23225520 its reverse (2552232), we get a palindrome (25777752).

It can be divided in two parts, 232 and 25520, that added together give a palindrome (25752).

The spelling of 23225520 in words is "twenty-three million, two hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 47 48 58 60 71 80 87 94 116 120 141 142 145 174 188 213 232 235 240 282 284 290 348 355 376 426 435 464 470 564 568 580 696 705 710 752 852 870 940 1065 1128 1136 1160 1363 1392 1410 1420 1704 1740 1880 2059 2130 2256 2320 2726 2820 2840 3337 3408 3480 3760 4089 4118 4260 5452 5640 5680 6177 6674 6815 6960 8178 8236 8520 10011 10295 10904 11280 12354 13348 13630 16356 16472 16685 17040 20022 20445 20590 21808 24708 26696 27260 30885 32712 32944 33370 40044 40890 41180 49416 50055 53392 54520 61770 65424 66740 80088 81780 82360 96773 98832 100110 109040 123540 133480 160176 163560 164720 193546 200220 247080 266960 290319 327120 387092 400440 483865 494160 580638 774184 800880 967730 1161276 1451595 1548368 1935460 2322552 2903190 3870920 4645104 5806380 7741840 11612760 23225520