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52224200 = 235272732
BaseRepresentation
bin1100011100111…
…0000011001000
310122021021010122
43013032003020
5101332133300
65103202412
71202620100
oct307160310
9118237118
1052224200
112752a8a6
12155a6408
13aa868c2
146d16200
1548b8c85
hex31ce0c8

52224200 has 108 divisors (see below), whose sum is σ = 143206515. Its totient is φ = 17660160.

The previous prime is 52224197. The next prime is 52224203. The reversal of 52224200 is 242225.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (52224197) and next prime (52224203).

It can be written as a sum of positive squares in 5 ways, for example, as 22259524 + 29964676 = 4718^2 + 5474^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5110.

It is not an unprimeable number, because it can be changed into a prime (52224203) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 715364 + ... + 715436.

Almost surely, 252224200 is an apocalyptic number.

52224200 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 52224200

52224200 is an abundant number, since it is smaller than the sum of its proper divisors (90982315).

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

52224200 is a wasteful number, since it uses less digits than its factorization.

52224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 52224200 is about 7226.6313037265. The cubic root of 52224200 is about 373.7867754256.

Adding to 52224200 its reverse (242225), we get a palindrome (52466425).

The spelling of 52224200 in words is "fifty-two million, two hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 73 98 100 140 146 175 196 200 245 280 292 350 365 392 490 511 584 700 730 980 1022 1225 1400 1460 1825 1960 2044 2450 2555 2920 3577 3650 4088 4900 5110 5329 7154 7300 9800 10220 10658 12775 14308 14600 17885 20440 21316 25550 26645 28616 35770 37303 42632 51100 53290 71540 74606 89425 102200 106580 133225 143080 149212 178850 186515 213160 261121 266450 298424 357700 373030 522242 532900 715400 746060 932575 1044484 1065800 1305605 1492120 1865150 2088968 2611210 3730300 5222420 6528025 7460600 10444840 13056050 26112100 52224200