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52231200 = 2535273109
BaseRepresentation
bin1100011100111…
…1110000100000
310122021121201220
43013033300200
5101332344300
65103255040
71202646360
oct307176040
9118247656
1052231200
112753508a
12155aa480
13aa89b48
146d189a0
1548bada0
hex31cfc20

52231200 has 144 divisors (see below), whose sum is σ = 194362560. Its totient is φ = 11934720.

The previous prime is 52231181. The next prime is 52231211. The reversal of 52231200 is 213225.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 52231200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15246 + ... + 18354.

It is an arithmetic number, because the mean of its divisors is an integer number (1349740).

Almost surely, 252231200 is an apocalyptic number.

52231200 is a gapful number since it is divisible by the number (50) 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 52231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97181280).

52231200 is an abundant number, since it is smaller than the sum of its proper divisors (142131360).

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

52231200 is a wasteful number, since it uses less digits than its factorization.

52231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 52231200 is about 7227.1156072115. The cubic root of 52231200 is about 373.8034751582.

Adding to 52231200 its reverse (213225), we get a palindrome (52444425).

The spelling of 52231200 in words is "fifty-two million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3109 3360 4200 5600 6218 8400 9327 12436 15545 16800 18654 21763 24872 31090 37308 43526 46635 49744 62180 65289 74616 77725 87052 93270 99488 108815 124360 130578 149232 155450 174104 186540 217630 233175 248720 261156 298464 310900 326445 348208 373080 435260 466350 497440 522312 544075 621800 652890 696416 746160 870520 932700 1044624 1088150 1243600 1305780 1492320 1632225 1741040 1865400 2089248 2176300 2487200 2611560 3264450 3482080 3730800 4352600 5223120 6528900 7461600 8705200 10446240 13057800 17410400 26115600 52231200