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202118490 = 2345743829
BaseRepresentation
bin11000000110000…
…01010101011010
3112002022200110000
430003001111122
5403220242430
632020033430
75002656510
oct1403012532
9462280400
10202118490
11a40aa682
1257832876
1332b49652
141cbb44b0
1512b26e60
hexc0c155a

202118490 has 160 divisors (see below), whose sum is σ = 636324480. Its totient is φ = 45069696.

The previous prime is 202118489. The next prime is 202118513. The reversal of 202118490 is 94811202.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 243396 + ... + 244224.

It is an arithmetic number, because the mean of its divisors is an integer number (3977028).

Almost surely, 2202118490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202118490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318162240).

202118490 is an abundant number, since it is smaller than the sum of its proper divisors (434205990).

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

202118490 is a wasteful number, since it uses less digits than its factorization.

202118490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 202118490 is about 14216.8382560962. The cubic root of 202118490 is about 586.8611338067.

Adding to 202118490 its reverse (94811202), we get a palindrome (296929692).

The spelling of 202118490 in words is "two hundred two million, one hundred eighteen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 43 45 54 63 70 81 86 90 105 126 129 135 162 189 210 215 258 270 301 315 378 387 405 430 567 602 630 645 774 810 829 903 945 1134 1161 1290 1505 1658 1806 1890 1935 2322 2487 2709 2835 3010 3483 3870 4145 4515 4974 5418 5670 5803 5805 6966 7461 8127 8290 9030 11606 11610 12435 13545 14922 16254 17409 17415 22383 24381 24870 27090 29015 34818 34830 35647 37305 40635 44766 48762 52227 58030 67149 71294 74610 81270 87045 104454 106941 111915 121905 134298 156681 174090 178235 213882 223830 243810 249529 261135 313362 320823 335745 356470 470043 499058 522270 534705 641646 671490 748587 783405 940086 962469 1069410 1247645 1497174 1566810 1604115 1924938 2245761 2350215 2495290 2887407 3208230 3742935 4491522 4700430 4812345 5774814 6737283 7485870 9624690 11228805 13474566 14437035 20211849 22457610 28874070 33686415 40423698 67372830 101059245 202118490