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200161280 = 2115111777
BaseRepresentation
bin10111110111000…
…11100000000000
3111221122020122202
423323203200000
5402220130110
631510052332
74650225404
oct1373434000
9457566582
10200161280
11a2a93150
125704a0a8
1332612837
141c825104
151288c0a5
hexbee3800

200161280 has 96 divisors (see below), whose sum is σ = 524225520. Its totient is φ = 72744960.

The previous prime is 200161261. The next prime is 200161289. The reversal of 200161280 is 82161002.

It is a super-2 number, since 2×2001612802 = 80129076022476800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200161289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111752 + ... + 113528.

Almost surely, 2200161280 is an apocalyptic number.

200161280 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 200161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262112760).

200161280 is an abundant number, since it is smaller than the sum of its proper divisors (324064240).

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

200161280 is a wasteful number, since it uses less digits than its factorization.

200161280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 200161280 is about 14147.8365837325. The cubic root of 200161280 is about 584.9607006010.

The spelling of 200161280 in words is "two hundred million, one hundred sixty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 1777 2048 2560 2816 3520 3554 5120 5632 7040 7108 8885 10240 11264 14080 14216 17770 19547 22528 28160 28432 35540 39094 56320 56864 71080 78188 97735 112640 113728 142160 156376 195470 227456 284320 312752 390940 454912 568640 625504 781880 909824 1137280 1251008 1563760 1819648 2274560 2502016 3127520 3639296 4549120 5004032 6255040 9098240 10008064 12510080 18196480 20016128 25020160 40032256 50040320 100080640 200161280