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200991648 = 25311513
BaseRepresentation
bin10111111101011…
…10001110100000
3112000012102201010
423332232032200
5402423213043
631535540520
74660254324
oct1376561640
9460172633
10200991648
11a3500000
125738a740
1332843790
141c99d984
15129a3133
hexbfae3a0

200991648 has 144 divisors (see below), whose sum is σ = 625006368. Its totient is φ = 56221440.

The previous prime is 200991619. The next prime is 200991649. The reversal of 200991648 is 846199002.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (200991649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15460890 + ... + 15460902.

It is an arithmetic number, because the mean of its divisors is an integer number (4340322).

Almost surely, 2200991648 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 200991648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312503184).

200991648 is an abundant number, since it is smaller than the sum of its proper divisors (424014720).

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

200991648 is an frugal number, since it uses more digits than its factorization.

200991648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 200991648 is about 14177.1523233688. The cubic root of 200991648 is about 585.7684867096.

200991648 divided by its sum of digits (39) gives a 5-th power (5153632 = 225).

The spelling of 200991648 in words is "two hundred million, nine hundred ninety-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 121 132 143 156 176 208 242 264 286 312 352 363 416 429 484 528 572 624 726 858 968 1056 1144 1248 1331 1452 1573 1716 1936 2288 2662 2904 3146 3432 3872 3993 4576 4719 5324 5808 6292 6864 7986 9438 10648 11616 12584 13728 14641 15972 17303 18876 21296 25168 29282 31944 34606 37752 42592 43923 50336 51909 58564 63888 69212 75504 87846 103818 117128 127776 138424 151008 161051 175692 190333 207636 234256 276848 322102 351384 380666 415272 468512 483153 553696 570999 644204 702768 761332 830544 966306 1141998 1288408 1405536 1522664 1661088 1932612 2093663 2283996 2576816 3045328 3865224 4187326 4567992 5153632 6090656 6280989 7730448 8374652 9135984 12561978 15460896 16749304 18271968 25123956 33498608 50247912 66997216 100495824 200991648