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200314944 = 2634172273
BaseRepresentation
bin10111111000010…
…01000001000000
3111221221001110000
423330021001000
5402240034234
631513240000
74651435404
oct1374110100
9457831400
10200314944
11a3088645
1257103000
133266776b
141c865104
15128bc899
hexbf09040

200314944 has 140 divisors (see below), whose sum is σ = 629002044. Its totient is φ = 62816256.

The previous prime is 200314943. The next prime is 200314949. The reversal of 200314944 is 449413002.

It can be written as a sum of positive squares in 2 ways, for example, as 167961600 + 32353344 = 12960^2 + 5688^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (200314943) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 86992 + ... + 89264.

Almost surely, 2200314944 is an apocalyptic number.

200314944 is a gapful number since it is divisible by the number (24) 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 200314944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314501022).

200314944 is an abundant number, since it is smaller than the sum of its proper divisors (428687100).

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

200314944 is a wasteful number, since it uses less digits than its factorization.

200314944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 200314944 is about 14153.2661954759. The cubic root of 200314944 is about 585.1103539351.

Adding to 200314944 its reverse (449413002), we get a palindrome (649727946).

The spelling of 200314944 in words is "two hundred million, three hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1632 1728 1836 2273 2448 2592 2754 3264 3672 4546 4896 5184 5508 6819 7344 9092 9792 11016 13638 14688 18184 20457 22032 27276 29376 36368 38641 40914 44064 54552 61371 72736 77282 81828 88128 109104 115923 122742 145472 154564 163656 184113 218208 231846 245484 309128 327312 347769 368226 436416 463692 490968 618256 654624 695538 736452 927384 981936 1043307 1236512 1309248 1391076 1472904 1854768 1963872 2086614 2473024 2782152 2945808 3129921 3709536 3927744 4173228 5564304 5891616 6259842 7419072 8346456 11128608 11783232 12519684 16692912 22257216 25039368 33385824 50078736 66771648 100157472 200314944