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202213241300 = 225271016014759
BaseRepresentation
bin1011110001010011011…
…0010011000111010100
3201022221120212222210102
42330110312103013110
511303113042210200
6232521231313232
720416014122360
oct2742466230724
9638846788712
10202213241300
1178838115144
123323497b818
13160b7a08805
149b040082a0
1553d79096d5
hex2f14d931d4

202213241300 has 144 divisors (see below), whose sum is σ = 507403357440. Its totient is φ = 68515200000.

The previous prime is 202213241267. The next prime is 202213241323. The reversal of 202213241300 is 3142312202.

202213241300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42488321 + ... + 42493079.

Almost surely, 2202213241300 is an apocalyptic number.

202213241300 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 202213241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253701678720).

202213241300 is an abundant number, since it is smaller than the sum of its proper divisors (305190116140).

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

202213241300 is a wasteful number, since it uses less digits than its factorization.

202213241300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5482 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 202213241300 its reverse (3142312202), we get a palindrome (205355553502).

The spelling of 202213241300 in words is "two hundred two billion, two hundred thirteen million, two hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 601 700 707 1010 1202 1414 2020 2404 2525 2828 3005 3535 4207 4759 5050 6010 7070 8414 9518 10100 12020 14140 15025 16828 17675 19036 21035 23795 30050 33313 35350 42070 47590 60100 60701 66626 70700 84140 95180 105175 118975 121402 133252 166565 210350 237950 242804 303505 333130 420700 424907 475900 480659 607010 666260 832825 849814 961318 1214020 1517525 1665650 1699628 1922636 2124535 2403295 2860159 3035050 3331300 3364613 4249070 4806590 5720318 6070100 6729226 8498140 9613180 10622675 11440636 12016475 13458452 14300795 16823065 20021113 21245350 24032950 28601590 33646130 40042226 42490700 48065900 57203180 67292260 71503975 80084452 84115325 100105565 143007950 168230650 200211130 286015900 288876059 336461300 400422260 500527825 577752118 1001055650 1155504236 1444380295 2002111300 2022132413 2888760590 4044264826 5777521180 7221901475 8088529652 10110662065 14443802950 20221324130 28887605900 40442648260 50553310325 101106620650 202213241300