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200240160 = 25353113457
BaseRepresentation
bin10111110111101…
…10110000100000
3111221210020212020
423323312300200
5402230141120
631511501440
74651004361
oct1373666040
9457706766
10200240160
11a303743a
1257087880
133263c703
141c845b68
15128a5640
hexbef6c20

200240160 has 96 divisors (see below), whose sum is σ = 651151872. Its totient is φ = 51671040.

The previous prime is 200240147. The next prime is 200240171. The reversal of 200240160 is 61042002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2002401602 = 80192243353651200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 8152 + ... + 21608.

It is an arithmetic number, because the mean of its divisors is an integer number (6782832).

Almost surely, 2200240160 is an apocalyptic number.

200240160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200240160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325575936).

200240160 is an abundant number, since it is smaller than the sum of its proper divisors (450911712).

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

200240160 is a wasteful number, since it uses less digits than its factorization.

200240160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13506 (or 13498 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 200240160 is about 14150.6240145090. The cubic root of 200240160 is about 585.0375313783.

Adding to 200240160 its reverse (61042002), we get a palindrome (261282162).

The spelling of 200240160 in words is "two hundred million, two hundred forty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 13457 14880 26914 40371 53828 67285 80742 107656 134570 161484 201855 215312 269140 322968 403710 417167 430624 538280 645936 807420 834334 1076560 1251501 1291872 1614840 1668668 2085835 2153120 2503002 3229680 3337336 4171670 5006004 6257505 6459360 6674672 8343340 10012008 12515010 13349344 16686680 20024016 25030020 33373360 40048032 50060040 66746720 100120080 200240160