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200514000 = 24353231453
BaseRepresentation
bin10111111001110…
…01100111010000
3111222022011111110
423330321213100
5402312422000
631521413320
74653224631
oct1374714720
9458264443
10200514000
11a3204155
125719a240
133270724b
141c8b7888
151290b850
hexbf399d0

200514000 has 160 divisors (see below), whose sum is σ = 675028224. Its totient is φ = 51110400.

The previous prime is 200513969. The next prime is 200514007. The reversal of 200514000 is 415002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200514007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137274 + ... + 138726.

Almost surely, 2200514000 is an apocalyptic number.

200514000 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 200514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337514112).

200514000 is an abundant number, since it is smaller than the sum of its proper divisors (474514224).

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

200514000 is a wasteful number, since it uses less digits than its factorization.

200514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 200514000 is about 14160.2966070630. The cubic root of 200514000 is about 585.3041007858.

Adding to 200514000 its reverse (415002), we get a palindrome (200929002).

The spelling of 200514000 in words is "two hundred million, five hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 125 138 150 184 200 230 240 250 276 300 345 368 375 400 460 500 552 575 600 690 750 920 1000 1104 1150 1200 1380 1453 1500 1725 1840 2000 2300 2760 2875 2906 3000 3450 4359 4600 5520 5750 5812 6000 6900 7265 8625 8718 9200 11500 11624 13800 14530 17250 17436 21795 23000 23248 27600 29060 33419 34500 34872 36325 43590 46000 58120 66838 69000 69744 72650 87180 100257 108975 116240 133676 138000 145300 167095 174360 181625 200514 217950 267352 290600 334190 348720 363250 401028 435900 501285 534704 544875 581200 668380 726500 802056 835475 871800 1002570 1089750 1336760 1453000 1604112 1670950 1743600 2005140 2179500 2506425 2673520 2906000 3341900 4010280 4177375 4359000 5012850 6683800 8020560 8354750 8718000 10025700 12532125 13367600 16709500 20051400 25064250 33419000 40102800 50128500 66838000 100257000 200514000