Search a number
-
+
200111408 = 24723131593
BaseRepresentation
bin10111110110101…
…11010100110000
3111221112201020122
423323113110300
5402212031113
631505025412
74646630120
oct1373272460
9457481218
10200111408
11a2a59732
1257025268
13325c5c23
141c810c80
151287c408
hexbed7530

200111408 has 80 divisors (see below), whose sum is σ = 466684416. Its totient is φ = 81269760.

The previous prime is 200111393. The next prime is 200111413. The reversal of 200111408 is 804111002.

It is a super-2 number, since 2×2001114082 = 80089151223484928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337160 + ... + 337752.

Almost surely, 2200111408 is an apocalyptic number.

200111408 is a gapful number since it is divisible by the number (28) 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 200111408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233342208).

200111408 is an abundant number, since it is smaller than the sum of its proper divisors (266573008).

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

200111408 is a wasteful number, since it uses less digits than its factorization.

200111408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 200111408 is about 14146.0739429709. The cubic root of 200111408 is about 584.9121138092.

The spelling of 200111408 in words is "two hundred million, one hundred eleven thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 131 161 184 262 322 368 524 593 644 917 1048 1186 1288 1834 2096 2372 2576 3013 3668 4151 4744 6026 7336 8302 9488 12052 13639 14672 16604 21091 24104 27278 33208 42182 48208 54556 66416 77683 84364 95473 109112 155366 168728 190946 218224 310732 337456 381892 543781 621464 763784 1087562 1242928 1527568 1786709 2175124 3573418 4350248 7146836 8700496 12506963 14293672 25013926 28587344 50027852 100055704 200111408