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52233000 = 2335323757
BaseRepresentation
bin1100011101000…
…0001100101000
310122021201012120
43013100030220
5101332424000
65103311240
71202654541
oct307201450
9118251176
1052233000
1127536476
12155ab520
13aa8a901
146d194c8
1548bb6a0
hex31d0328

52233000 has 128 divisors (see below), whose sum is σ = 170277120. Its totient is φ = 13305600.

The previous prime is 52232987. The next prime is 52233001. The reversal of 52233000 is 33225.

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

It is not an unprimeable number, because it can be changed into a prime (52233001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68622 + ... + 69378.

It is an arithmetic number, because the mean of its divisors is an integer number (1330290).

Almost surely, 252233000 is an apocalyptic number.

52233000 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 52233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85138560).

52233000 is an abundant number, since it is smaller than the sum of its proper divisors (118044120).

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

52233000 is a wasteful number, since it uses less digits than its factorization.

52233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 52233000 is about 7227.2401371478. The cubic root of 52233000 is about 373.8077691340.

Adding to 52233000 its reverse (33225), we get a palindrome (52266225).

The spelling of 52233000 in words is "fifty-two million, two hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 375 460 500 552 575 600 690 750 757 920 1000 1150 1380 1500 1514 1725 2271 2300 2760 2875 3000 3028 3450 3785 4542 4600 5750 6056 6900 7570 8625 9084 11355 11500 13800 15140 17250 17411 18168 18925 22710 23000 30280 34500 34822 37850 45420 52233 56775 69000 69644 75700 87055 90840 94625 104466 113550 139288 151400 174110 189250 208932 227100 261165 283875 348220 378500 417864 435275 454200 522330 567750 696440 757000 870550 1044660 1135500 1305825 1741100 2089320 2176375 2271000 2611650 3482200 4352750 5223300 6529125 8705500 10446600 13058250 17411000 26116500 52233000