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200488380 = 223519712477
BaseRepresentation
bin10111111001100…
…11010110111100
3111222020212100120
423330303112330
5402311112010
631521054540
74653060141
oct1374632674
9458225316
10200488380
11a3196984
1257187450
13326c86a1
141c8ac3c8
1512903e70
hexbf335bc

200488380 has 96 divisors (see below), whose sum is σ = 599477760. Its totient is φ = 49916160.

The previous prime is 200488369. The next prime is 200488381. The reversal of 200488380 is 83884002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200488381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79702 + ... + 82178.

It is an arithmetic number, because the mean of its divisors is an integer number (6244560).

Almost surely, 2200488380 is an apocalyptic number.

200488380 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 200488380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299738880).

200488380 is an abundant number, since it is smaller than the sum of its proper divisors (398989380).

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

200488380 is a wasteful number, since it uses less digits than its factorization.

200488380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 200488380 is about 14159.3919360967. The cubic root of 200488380 is about 585.2791713049.

The spelling of 200488380 in words is "two hundred million, four hundred eighty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 71 76 95 114 142 190 213 228 284 285 355 380 426 570 710 852 1065 1140 1349 1420 2130 2477 2698 4047 4260 4954 5396 6745 7431 8094 9908 12385 13490 14862 16188 20235 24770 26980 29724 37155 40470 47063 49540 74310 80940 94126 141189 148620 175867 188252 235315 282378 351734 470630 527601 564756 703468 705945 879335 941260 1055202 1411890 1758670 2110404 2638005 2823780 3341473 3517340 5276010 6682946 10024419 10552020 13365892 16707365 20048838 33414730 40097676 50122095 66829460 100244190 200488380