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200155280 = 245131711321
BaseRepresentation
bin10111110111000…
…10000010010000
3111221121221102112
423323202002100
5402214432110
631510004452
74650202043
oct1373420220
9457557375
10200155280
11a2a89696
1257046728
133260cba0
141c822c5a
151288a405
hexbee2090

200155280 has 80 divisors (see below), whose sum is σ = 530684784. Its totient is φ = 69550080.

The previous prime is 200155261. The next prime is 200155289. The reversal of 200155280 is 82551002.

It can be written as a sum of positive squares in 8 ways, for example, as 26337424 + 173817856 = 5132^2 + 13184^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2001552802 = 80124272223756800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200155289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12020 + ... + 23340.

Almost surely, 2200155280 is an apocalyptic number.

200155280 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 200155280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265342392).

200155280 is an abundant number, since it is smaller than the sum of its proper divisors (330529504).

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

200155280 is a wasteful number, since it uses less digits than its factorization.

200155280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11364 (or 11358 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 200155280 is about 14147.6245355890. The cubic root of 200155280 is about 584.9548556489.

The spelling of 200155280 in words is "two hundred million, one hundred fifty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 442 520 680 884 1040 1105 1360 1768 2210 3536 4420 8840 11321 17680 22642 45284 56605 90568 113210 147173 181136 192457 226420 294346 384914 452840 588692 735865 769828 905680 962285 1177384 1471730 1539656 1924570 2354768 2501941 2943460 3079312 3849140 5003882 5886920 7698280 10007764 11773840 12509705 15396560 20015528 25019410 40031056 50038820 100077640 200155280