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202042260 = 223257413911
BaseRepresentation
bin11000000101011…
…10101110010100
3112002011210212200
430002232232110
5403210323020
632014244500
75002221330
oct1402565624
9462153780
10202042260
11a4058382
12577b6730
1332b20a44
141cb947c0
1512b0e590
hexc0aeb94

202042260 has 144 divisors (see below), whose sum is σ = 717679872. Its totient is φ = 45043200.

The previous prime is 202042259. The next prime is 202042271. The reversal of 202042260 is 62240202.

It is a happy number.

202042260 is digitally balanced in base 3 and base 9, because in such bases 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 (18).

202042260 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 49705 + ... + 53615.

It is an arithmetic number, because the mean of its divisors is an integer number (4983888).

Almost surely, 2202042260 is an apocalyptic number.

202042260 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 202042260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358839936).

202042260 is an abundant number, since it is smaller than the sum of its proper divisors (515637612).

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

202042260 is a wasteful number, since it uses less digits than its factorization.

202042260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 202042260 is about 14214.1570274146. The cubic root of 202042260 is about 586.7873453248.

Adding to 202042260 its reverse (62240202), we get a palindrome (264282462).

The spelling of 202042260 in words is "two hundred two million, forty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 41 42 45 60 63 70 82 84 90 105 123 126 140 164 180 205 210 246 252 287 315 369 410 420 492 574 615 630 738 820 861 1148 1230 1260 1435 1476 1722 1845 2460 2583 2870 3444 3690 3911 4305 5166 5740 7380 7822 8610 10332 11733 12915 15644 17220 19555 23466 25830 27377 35199 39110 46932 51660 54754 58665 70398 78220 82131 109508 117330 136885 140796 160351 164262 175995 234660 246393 273770 320702 328524 351990 410655 481053 492786 547540 641404 703980 801755 821310 962106 985572 1122457 1231965 1443159 1603510 1642620 1924212 2244914 2405265 2463930 2886318 3207020 3367371 4489828 4810530 4927860 5612285 5772636 6734742 7215795 9621060 10102113 11224570 13469484 14431590 16836855 20204226 22449140 28863180 33673710 40408452 50510565 67347420 101021130 202042260