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52204200 = 23352167521
BaseRepresentation
bin1100011100100…
…1001010101000
310122020020200220
43013021022220
5101331013300
65102530040
71202504556
oct307111250
9118206626
1052204200
1127516874
1215596920
13aa7a779
146d0cbd6
1548b2da0
hex31c92a8

52204200 has 96 divisors (see below), whose sum is σ = 163114560. Its totient is φ = 13811200.

The previous prime is 52204183. The next prime is 52204213. The reversal of 52204200 is 240225.

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 52204200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99940 + ... + 100460.

It is an arithmetic number, because the mean of its divisors is an integer number (1699110).

Almost surely, 252204200 is an apocalyptic number.

52204200 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 52204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81557280).

52204200 is an abundant number, since it is smaller than the sum of its proper divisors (110910360).

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

52204200 is a wasteful number, since it uses less digits than its factorization.

52204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 52204200 is about 7225.2474006085. The cubic root of 52204200 is about 373.7390536796.

Adding to 52204200 its reverse (240225), we get a palindrome (52444425).

The spelling of 52204200 in words is "fifty-two million, two hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 167 200 300 334 501 521 600 668 835 1002 1042 1336 1563 1670 2004 2084 2505 2605 3126 3340 4008 4168 4175 5010 5210 6252 6680 7815 8350 10020 10420 12504 12525 13025 15630 16700 20040 20840 25050 26050 31260 33400 39075 50100 52100 62520 78150 87007 100200 104200 156300 174014 261021 312600 348028 435035 522042 696056 870070 1044084 1305105 1740140 2088168 2175175 2610210 3480280 4350350 5220420 6525525 8700700 10440840 13051050 17401400 26102100 52204200