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200014320 = 243511239317
BaseRepresentation
bin10111110101111…
…11100111110000
3111221100210001210
423322333213300
5402200424240
631503000120
74646044062
oct1372774760
9457323053
10200014320
11a29a27a0
1256b99040
133259098c
141c7c7732
151285d780
hexbebf9f0

200014320 has 160 divisors (see below), whose sum is σ = 681384960. Its totient is φ = 48133120.

The previous prime is 200014319. The next prime is 200014403. The reversal of 200014320 is 23410002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 200014296 and 200014305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630802 + ... + 631118.

It is an arithmetic number, because the mean of its divisors is an integer number (4258656).

Almost surely, 2200014320 is an apocalyptic number.

200014320 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 200014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340692480).

200014320 is an abundant number, since it is smaller than the sum of its proper divisors (481370640).

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

200014320 is a wasteful number, since it uses less digits than its factorization.

200014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 200014320 is about 14142.6419031240. The cubic root of 200014320 is about 584.8175046208.

Adding to 200014320 its reverse (23410002), we get a palindrome (223424322).

The spelling of 200014320 in words is "two hundred million, fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 239 240 264 317 330 440 478 528 634 660 717 880 951 956 1195 1268 1320 1434 1585 1902 1912 2390 2536 2629 2640 2868 3170 3487 3585 3804 3824 4755 4780 5072 5258 5736 6340 6974 7170 7608 7887 9510 9560 10461 10516 11472 12680 13145 13948 14340 15216 15774 17435 19020 19120 20922 21032 25360 26290 27896 28680 31548 34870 38040 39435 41844 42064 52305 52580 55792 57360 63096 69740 75763 76080 78870 83688 104610 105160 126192 139480 151526 157740 167376 209220 210320 227289 278960 303052 315480 378815 418440 454578 606104 630960 757630 833393 836880 909156 1136445 1212208 1515260 1666786 1818312 2272890 2500179 3030520 3333572 3636624 4166965 4545780 5000358 6061040 6667144 8333930 9091560 10000716 12500895 13334288 16667860 18183120 20001432 25001790 33335720 40002864 50003580 66671440 100007160 200014320