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200383488 = 21032171279
BaseRepresentation
bin10111111000110…
…01110000000000
3111222001112110200
423330121300000
5402244232423
631514525200
74652142264
oct1374316000
9458045420
10200383488
11a3125098
1257136800
133268ca16
141c8820a4
15128d2d43
hexbf19c00

200383488 has 132 divisors (see below), whose sum is σ = 613117440. Its totient is φ = 62816256.

The previous prime is 200383487. The next prime is 200383489. The reversal of 200383488 is 884383002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (200383487) and next prime (200383489).

It is a super-2 number, since 2×2003834882 = 80307084526092288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200383487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156033 + ... + 157311.

Almost surely, 2200383488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200383488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306558720).

200383488 is an abundant number, since it is smaller than the sum of its proper divisors (412733952).

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

200383488 is a wasteful number, since it uses less digits than its factorization.

200383488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 200383488 is about 14155.6874788899. The cubic root of 200383488 is about 585.1770842377.

It can be divided in two parts, 2003 and 83488, that added together give a triangular number (85491 = T413).

The spelling of 200383488 in words is "two hundred million, three hundred eighty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1279 1536 1632 2176 2304 2448 2558 3072 3264 3837 4352 4608 4896 5116 6528 7674 8704 9216 9792 10232 11511 13056 15348 17408 19584 20464 21743 23022 26112 30696 39168 40928 43486 46044 52224 61392 65229 78336 81856 86972 92088 122784 130458 156672 163712 173944 184176 195687 245568 260916 327424 347888 368352 391374 491136 521832 654848 695776 736704 782748 982272 1043664 1309696 1391552 1473408 1565496 1964544 2087328 2783104 2946816 3130992 3929088 4174656 5566208 5893632 6261984 8349312 11132416 11787264 12523968 16698624 22264832 25047936 33397248 50095872 66794496 100191744 200383488