Search a number
-
+
200024896 = 2631412459
BaseRepresentation
bin10111110110000…
…10001101000000
3111221101022120111
423323002031000
5402201244041
631503121104
74646116651
oct1373021500
9457338514
10200024896
11a29aa735
1256ba3194
1332595736
141c7cb528
1512861981
hexbec2340

200024896 has 56 divisors (see below), whose sum is σ = 419892480. Its totient is φ = 94387200.

The previous prime is 200024893. The next prime is 200024911. The reversal of 200024896 is 698420002.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200024893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80115 + ... + 82573.

It is an arithmetic number, because the mean of its divisors is an integer number (7498080).

Almost surely, 2200024896 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 200024896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209946240).

200024896 is an abundant number, since it is smaller than the sum of its proper divisors (219867584).

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

200024896 is a wasteful number, since it uses less digits than its factorization.

200024896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 200024896 is about 14143.0158028618. The cubic root of 200024896 is about 584.8278120843.

Adding to 200024896 its reverse (698420002), we get a palindrome (898444898).

It can be divided in two parts, 2000 and 24896, that added together give a square (26896 = 1642).

The spelling of 200024896 in words is "two hundred million, twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 164 248 328 496 656 992 1271 1312 1984 2459 2542 2624 4918 5084 9836 10168 19672 20336 39344 40672 76229 78688 81344 100819 152458 157376 201638 304916 403276 609832 806552 1219664 1613104 2439328 3125389 3226208 4878656 6250778 6452416 12501556 25003112 50006224 100012448 200024896