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201171152 = 24713314457
BaseRepresentation
bin10111111110110…
…10000011010000
3112000112112221102
423333122003100
5402444434102
631543443532
74661632550
oct1377320320
9460475842
10201171152
11a3612956
12574565a8
13328a73b0
141ca09160
15129db402
hexbfda0d0

201171152 has 80 divisors (see below), whose sum is σ = 495301632. Its totient is φ = 76999680.

The previous prime is 201171143. The next prime is 201171161. The reversal of 201171152 is 251171102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201171143) and next prime (201171161).

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, 42908 + ... + 47364.

Almost surely, 2201171152 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 201171152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247650816).

201171152 is an abundant number, since it is smaller than the sum of its proper divisors (294130480).

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

201171152 is a wasteful number, since it uses less digits than its factorization.

201171152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 20.

The square root of 201171152 is about 14183.4816600156. The cubic root of 201171152 is about 585.9428165069.

The spelling of 201171152 in words is "two hundred one million, one hundred seventy-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 364 403 434 496 728 806 868 1456 1612 1736 2821 3224 3472 4457 5642 6448 8914 11284 17828 22568 31199 35656 45136 57941 62398 71312 115882 124796 138167 231764 249592 276334 405587 463528 499184 552668 811174 927056 967169 1105336 1622348 1796171 1934338 2210672 3244696 3592342 3868676 6489392 7184684 7737352 12573197 14369368 15474704 25146394 28738736 50292788 100585576 201171152