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200423808 = 2734131487
BaseRepresentation
bin10111111001000…
…11100110000000
3111222010120210000
423330203212000
5402302030213
631515440000
74652400654
oct1374434600
9458116700
10200423808
11a3152412
1257156000
13326a5190
141c892a64
15128dec73
hexbf23980

200423808 has 160 divisors (see below), whose sum is σ = 642771360. Its totient is φ = 61627392.

The previous prime is 200423789. The next prime is 200423813. The reversal of 200423808 is 808324002.

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 134041 + ... + 135527.

It is an arithmetic number, because the mean of its divisors is an integer number (4017321).

Almost surely, 2200423808 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 200423808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321385680).

200423808 is an abundant number, since it is smaller than the sum of its proper divisors (442347552).

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

200423808 is a wasteful number, since it uses less digits than its factorization.

200423808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 200423808 is about 14157.1115698083. Note that the first 3 decimals coincide. The cubic root of 200423808 is about 585.2163302486.

The spelling of 200423808 in words is "two hundred million, four hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 288 312 324 351 384 416 432 468 576 624 648 702 832 864 936 1053 1152 1248 1296 1404 1487 1664 1728 1872 2106 2496 2592 2808 2974 3456 3744 4212 4461 4992 5184 5616 5948 7488 8424 8922 10368 11232 11896 13383 14976 16848 17844 19331 22464 23792 26766 33696 35688 38662 40149 44928 47584 53532 57993 67392 71376 77324 80298 95168 107064 115986 120447 134784 142752 154648 160596 173979 190336 214128 231972 240894 285504 309296 321192 347958 428256 463944 481788 521937 571008 618592 642384 695916 856512 927888 963576 1043874 1237184 1284768 1391832 1565811 1713024 1855776 1927152 2087748 2474368 2569536 2783664 3131622 3711552 3854304 4175496 5139072 5567328 6263244 7423104 7708608 8350992 11134656 12526488 15417216 16701984 22269312 25052976 33403968 50105952 66807936 100211904 200423808