Search a number
-
+
200767116 = 2231129179293
BaseRepresentation
bin10111111011101…
…11011010001100
3111222210000201010
423331313122030
5402344021431
631531045220
74655330604
oct1375673214
9458700633
10200767116
11a3367340
12572a0810
1332795514
141c941c04
151295b846
hexbf7768c

200767116 has 96 divisors (see below), whose sum is σ = 533433600. Its totient is φ = 58213120.

The previous prime is 200767111. The next prime is 200767117. The reversal of 200767116 is 611767002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (200767111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685066 + ... + 685358.

It is an arithmetic number, because the mean of its divisors is an integer number (5556600).

Almost surely, 2200767116 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 200767116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266716800).

200767116 is an abundant number, since it is smaller than the sum of its proper divisors (332666484).

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

200767116 is a wasteful number, since it uses less digits than its factorization.

200767116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 200767116 is about 14169.2313129541. The cubic root of 200767116 is about 585.5502806671.

The spelling of 200767116 in words is "two hundred million, seven hundred sixty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 179 293 319 348 358 537 586 638 716 879 957 1074 1172 1276 1758 1914 1969 2148 3223 3516 3828 3938 5191 5907 6446 7876 8497 9669 10382 11814 12892 15573 16994 19338 20764 23628 25491 31146 33988 38676 50982 52447 57101 62292 93467 101964 104894 114202 157341 171303 186934 209788 228404 280401 314682 342606 373868 560802 576917 629364 685212 1121604 1153834 1520963 1730751 2307668 3041926 3461502 4562889 6083852 6923004 9125778 16730593 18251556 33461186 50191779 66922372 100383558 200767116