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202204243120 = 24511317412179
BaseRepresentation
bin1011110001010001001…
…1111110010010110000
3201022220221221211121111
42330110103332102300
511303103241234440
6232520310403104
720415544464535
oct2742423762260
9638827854544
10202204243120
1178833029730
1233231960494
13160b5ba7c49
149b02b44d8c
1553d6c2d4ea
hex2f144fe4b0

202204243120 has 80 divisors (see below), whose sum is σ = 529407544320. Its totient is φ = 71156908800.

The previous prime is 202204243057. The next prime is 202204243181. The reversal of 202204243120 is 21342402202.

202204243120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 202204243091 and 202204243100.

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 15 ways as a sum of consecutive naturals, for example, 3678810 + ... + 3733369.

It is an arithmetic number, because the mean of its divisors is an integer number (6617594304).

Almost surely, 2202204243120 is an apocalyptic number.

202204243120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202204243120 is an abundant number, since it is smaller than the sum of its proper divisors (327203301200).

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

202204243120 is a wasteful number, since it uses less digits than its factorization.

202204243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7412234 (or 7412228 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 202204243120 its reverse (21342402202), we get a palindrome (223546645322).

The spelling of 202204243120 in words is "two hundred two billion, two hundred four million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1240 1364 1705 2480 2728 3410 5456 6820 13640 27280 7412179 14824358 29648716 37060895 59297432 74121790 81533969 118594864 148243580 163067938 229777549 296487160 326135876 407669845 459555098 592974320 652271752 815339690 919110196 1148887745 1304543504 1630679380 1838220392 2297775490 2527553039 3261358760 3676440784 4595550980 5055106078 6522717520 9191101960 10110212156 12637765195 18382203920 20220424312 25275530390 40440848624 50551060780 101102121560 202204243120