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200452140 = 223257222727
BaseRepresentation
bin10111111001010…
…10100000101100
3111222012000122100
423330222200230
5402303432030
631520215100
74652546400
oct1374524054
9458160570
10200452140
11a3171729
125716a490
13326b5045
141c89d100
15128e8360
hexbf2a82c

200452140 has 108 divisors (see below), whose sum is σ = 707340816. Its totient is φ = 45815616.

The previous prime is 200452093. The next prime is 200452171. The reversal of 200452140 is 41254002.

200452140 is a `hidden beast` number, since 200 + 452 + 14 + 0 = 666.

200452140 is digitally balanced in base 2 and base 3, 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).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2544 + ... + 20183.

It is an arithmetic number, because the mean of its divisors is an integer number (6549452).

Almost surely, 2200452140 is an apocalyptic number.

200452140 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 200452140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353670408).

200452140 is an abundant number, since it is smaller than the sum of its proper divisors (506888676).

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

200452140 is a wasteful number, since it uses less digits than its factorization.

200452140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22756 (or 22744 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 200452140 is about 14158.1121622906. The cubic root of 200452140 is about 585.2439044309.

The spelling of 200452140 in words is "two hundred million, four hundred fifty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 22727 45454 68181 90908 113635 136362 159089 204543 227270 272724 318178 340905 409086 454540 477267 636356 681810 795445 818172 954534 1022715 1113623 1363620 1431801 1590890 1909068 2045430 2227246 2386335 2863602 3181780 3340869 4090860 4454492 4772670 5568115 5727204 6681738 7159005 9545340 10022607 11136230 13363476 14318010 16704345 20045214 22272460 28636020 33408690 40090428 50113035 66817380 100226070 200452140