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200974480 = 24572167307
BaseRepresentation
bin10111111101010…
…10000010010000
3112000011120011021
423332222002100
5402422140410
631535325224
74660153300
oct1376520220
9460146137
10200974480
11a3499113
1257380814
1332838a15
141c997600
151299ceda
hexbfaa090

200974480 has 120 divisors (see below), whose sum is σ = 548589888. Its totient is φ = 68269824.

The previous prime is 200974469. The next prime is 200974489. The reversal of 200974480 is 84479002.

It is a happy number.

It is a super-2 number, since 2×2009744802 = 80781483222540800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200974489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 654487 + ... + 654793.

Almost surely, 2200974480 is an apocalyptic number.

200974480 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 200974480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274294944).

200974480 is an abundant number, since it is smaller than the sum of its proper divisors (347615408).

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

200974480 is a wasteful number, since it uses less digits than its factorization.

200974480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 200974480 is about 14176.5468291823. The cubic root of 200974480 is about 585.7518081398.

The spelling of 200974480 in words is "two hundred million, nine hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 167 196 245 280 307 334 392 490 560 614 668 784 835 980 1169 1228 1336 1535 1670 1960 2149 2338 2456 2672 3070 3340 3920 4298 4676 4912 5845 6140 6680 8183 8596 9352 10745 11690 12280 13360 15043 16366 17192 18704 21490 23380 24560 30086 32732 34384 40915 42980 46760 51269 60172 65464 75215 81830 85960 93520 102538 120344 130928 150430 163660 171920 205076 240688 256345 300860 327320 358883 410152 512690 601720 654640 717766 820304 1025380 1203440 1435532 1794415 2050760 2512181 2871064 3588830 4101520 5024362 5742128 7177660 10048724 12560905 14355320 20097448 25121810 28710640 40194896 50243620 100487240 200974480