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201557620 = 2251147101193
BaseRepresentation
bin11000000001110…
…00011001110100
3112001021012002001
430000320121310
5403044320440
632000025044
74665132355
oct1400703164
9461235061
10201557620
11a3857250
1257602184
13329b1284
141caa9d2c
1512a65b9a
hexc038674

201557620 has 96 divisors (see below), whose sum is σ = 478711296. Its totient is φ = 70656000.

The previous prime is 201557591. The next prime is 201557639. The reversal of 201557620 is 26755102.

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 31 ways as a sum of consecutive naturals, for example, 1044244 + ... + 1044436.

It is an arithmetic number, because the mean of its divisors is an integer number (4986576).

Almost surely, 2201557620 is an apocalyptic number.

201557620 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 201557620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239355648).

201557620 is an abundant number, since it is smaller than the sum of its proper divisors (277153676).

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

201557620 is a wasteful number, since it uses less digits than its factorization.

201557620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 201557620 is about 14197.0989994435. The cubic root of 201557620 is about 586.3177928916.

The spelling of 201557620 in words is "two hundred one million, five hundred fifty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 101 110 188 193 202 220 235 386 404 470 505 517 772 940 965 1010 1034 1111 1930 2020 2068 2123 2222 2585 3860 4246 4444 4747 5170 5555 8492 9071 9494 10340 10615 11110 18142 18988 19493 21230 22220 23735 36284 38986 42460 45355 47470 52217 77972 90710 94940 97465 99781 104434 181420 194930 199562 208868 214423 261085 389860 399124 428846 498905 522170 857692 916171 997810 1044340 1072115 1832342 1995620 2144230 3664684 4288460 4580855 9161710 10077881 18323420 20155762 40311524 50389405 100778810 201557620