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200023152 = 24374991193
BaseRepresentation
bin10111110110000…
…01110001110000
3111221101020011220
423323001301300
5402201220102
631503105040
74646111610
oct1373016160
9457336156
10200023152
11a29a939a
1256ba2180
13325949c4
141c7caa40
15128611bc
hexbec1c70

200023152 has 80 divisors (see below), whose sum is σ = 592224000. Its totient is φ = 56987136.

The previous prime is 200023123. The next prime is 200023199. The reversal of 200023152 is 251320002.

200023152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2000231522 = 80018522672030208, which contains 22 as substring.

It is a congruent number.

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, 167068 + ... + 168260.

It is an arithmetic number, because the mean of its divisors is an integer number (7402800).

Almost surely, 2200023152 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 200023152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296112000).

200023152 is an abundant number, since it is smaller than the sum of its proper divisors (392200848).

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

200023152 is a wasteful number, since it uses less digits than its factorization.

200023152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 200023152 is about 14142.9541468535. The cubic root of 200023152 is about 584.8261123915.

Adding to 200023152 its reverse (251320002), we get a palindrome (451343154).

It can be divided in two parts, 2000 and 23152, that added together give a palindrome (25152).

The spelling of 200023152 in words is "two hundred million, twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 499 998 1193 1497 1996 2386 2994 3493 3579 3992 4772 5988 6986 7158 7984 8351 9544 10479 11976 13972 14316 16702 19088 20958 23952 25053 27944 28632 33404 41916 50106 55888 57264 66808 83832 100212 133616 167664 200424 400848 595307 1190614 1785921 2381228 3571842 4167149 4762456 7143684 8334298 9524912 12501447 14287368 16668596 25002894 28574736 33337192 50005788 66674384 100011576 200023152