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200312224 = 25717411283
BaseRepresentation
bin10111111000010…
…00010110100000
3111221220220201021
423330020112200
5402234442344
631513215224
74651424440
oct1374102640
9457826637
10200312224
11a30865a2
1257101514
1332666458
141c864120
15128bbb84
hexbf085a0

200312224 has 96 divisors (see below), whose sum is σ = 489234816. Its totient is φ = 78766080.

The previous prime is 200312213. The next prime is 200312279. The reversal of 200312224 is 422213002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 200312198 and 200312207.

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, 155487 + ... + 156769.

It is an arithmetic number, because the mean of its divisors is an integer number (5096196).

Almost surely, 2200312224 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 200312224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244617408).

200312224 is an abundant number, since it is smaller than the sum of its proper divisors (288922592).

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

200312224 is a wasteful number, since it uses less digits than its factorization.

200312224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 200312224 is about 14153.1701042558. The cubic root of 200312224 is about 585.1077055932.

Adding to 200312224 its reverse (422213002), we get a palindrome (622525226).

The spelling of 200312224 in words is "two hundred million, three hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 41 56 68 82 112 119 136 164 224 238 272 287 328 476 544 574 656 697 952 1148 1283 1312 1394 1904 2296 2566 2788 3808 4592 4879 5132 5576 8981 9184 9758 10264 11152 17962 19516 20528 21811 22304 35924 39032 41056 43622 52603 71848 78064 87244 105206 143696 152677 156128 174488 210412 287392 305354 348976 368221 420824 610708 697952 736442 841648 894251 1221416 1472884 1683296 1788502 2442832 2945768 3577004 4885664 5891536 6259757 7154008 11783072 12519514 14308016 25039028 28616032 50078056 100156112 200312224