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20352200 = 2352112292
BaseRepresentation
bin100110110100…
…0110011001000
31102021222222012
41031220303020
520202232300
62004115052
7334663601
oct115506310
942258865
1020352200
1110540a00
126995a88
1342a782b
1429bada8
151bc0435
hex1368cc8

20352200 has 108 divisors (see below), whose sum is σ = 53866995. Its totient is φ = 7145600.

The previous prime is 20352191. The next prime is 20352203. The reversal of 20352200 is 225302.

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 can be written as a sum of positive squares in 5 ways, for example, as 7806436 + 12545764 = 2794^2 + 3542^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3190.

It is not an unprimeable number, because it can be changed into a prime (20352203) 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, 701786 + ... + 701814.

Almost surely, 220352200 is an apocalyptic number.

20352200 is a gapful number since it is divisible by the number (20) 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 20352200

20352200 is an abundant number, since it is smaller than the sum of its proper divisors (33514795).

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

20352200 is a wasteful number, since it uses less digits than its factorization.

20352200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 47 counting only the distinct ones).

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

The square root of 20352200 is about 4511.3412639702. The cubic root of 20352200 is about 273.0258622021.

Adding to 20352200 its reverse (225302), we get a palindrome (20577502).

The spelling of 20352200 in words is "twenty million, three hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 121 145 200 220 232 242 275 290 319 440 484 550 580 605 638 725 841 968 1100 1160 1210 1276 1450 1595 1682 2200 2420 2552 2900 3025 3190 3364 3509 4205 4840 5800 6050 6380 6728 7018 7975 8410 9251 12100 12760 14036 15950 16820 17545 18502 21025 24200 28072 31900 33640 35090 37004 42050 46255 63800 70180 74008 84100 87725 92510 101761 140360 168200 175450 185020 203522 231275 350900 370040 407044 462550 508805 701800 814088 925100 1017610 1850200 2035220 2544025 4070440 5088050 10176100 20352200