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53022200 = 23527112313
BaseRepresentation
bin1100101001000…
…0110111111000
310200202210210012
43022100313320
5102033202300
65132241052
71212452450
oct312206770
9120683705
1053022200
1127a25400
1215910188
13aca5baa
147082d60
1549c5435
hex3290df8

53022200 has 144 divisors (see below), whose sum is σ = 155354640. Its totient is φ = 16473600.

The previous prime is 53022191. The next prime is 53022209. The reversal of 53022200 is 222035.

53022200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53022191) and next prime (53022209).

It is a super-2 number, since 2×530222002 = 5622707385680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53022209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169244 + ... + 169556.

Almost surely, 253022200 is an apocalyptic number.

53022200 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 53022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77677320).

53022200 is an abundant number, since it is smaller than the sum of its proper divisors (102332440).

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

53022200 is a wasteful number, since it uses less digits than its factorization.

53022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 53022200 is about 7281.6344319116. The cubic root of 53022200 is about 375.6810143551.

Adding to 53022200 its reverse (222035), we get a palindrome (53244235).

The spelling of 53022200 in words is "fifty-three million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 121 140 154 175 200 220 242 275 280 308 313 350 385 440 484 550 605 616 626 700 770 847 968 1100 1210 1252 1400 1540 1565 1694 1925 2191 2200 2420 2504 3025 3080 3130 3388 3443 3850 4235 4382 4840 6050 6260 6776 6886 7700 7825 8470 8764 10955 12100 12520 13772 15400 15650 16940 17215 17528 21175 21910 24101 24200 27544 31300 33880 34430 37873 42350 43820 48202 54775 62600 68860 75746 84700 86075 87640 96404 109550 120505 137720 151492 169400 172150 189365 192808 219100 241010 265111 302984 344300 378730 438200 482020 530222 602525 688600 757460 946825 964040 1060444 1205050 1325555 1514920 1893650 2120888 2410100 2651110 3787300 4820200 5302220 6627775 7574600 10604440 13255550 26511100 53022200