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20264200 = 23521161151
BaseRepresentation
bin100110101001…
…1010100001000
31102010112020221
41031103110020
520141423300
62002155424
7334146205
oct115232410
942115227
1020264200
1110490880
126952b74
134276768
142996cac
151ba431a
hex1353508

20264200 has 96 divisors (see below), whose sum is σ = 52585920. Its totient is φ = 7200000.

The previous prime is 20264183. The next prime is 20264207. The reversal of 20264200 is 246202.

It is not an unprimeable number, because it can be changed into a prime (20264207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134125 + ... + 134275.

It is an arithmetic number, because the mean of its divisors is an integer number (547770).

Almost surely, 220264200 is an apocalyptic number.

20264200 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 20264200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26292960).

20264200 is an abundant number, since it is smaller than the sum of its proper divisors (32321720).

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

20264200 is a wasteful number, since it uses less digits than its factorization.

20264200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 20264200 is about 4501.5775012766. The cubic root of 20264200 is about 272.6317854271.

It can be divided in two parts, 2026 and 4200, that added together give a palindrome (6226).

The spelling of 20264200 in words is "twenty million, two hundred sixty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 61 88 100 110 122 151 200 220 244 275 302 305 440 488 550 604 610 671 755 1100 1208 1220 1342 1510 1525 1661 2200 2440 2684 3020 3050 3322 3355 3775 5368 6040 6100 6644 6710 7550 8305 9211 12200 13288 13420 15100 16610 16775 18422 26840 30200 33220 33550 36844 41525 46055 66440 67100 73688 83050 92110 101321 134200 166100 184220 202642 230275 332200 368440 405284 460550 506605 810568 921100 1013210 1842200 2026420 2533025 4052840 5066050 10132100 20264200