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200093004 = 223789257
BaseRepresentation
bin10111110110100…
…10110101001100
3111221111210000000
423323102311030
5402210434004
631504404300
74646522346
oct1373226514
9457453000
10200093004
11a2a46921
1257016690
13325ba737
141c808296
1512876c39
hexbed2d4c

200093004 has 96 divisors (see below), whose sum is σ = 533131200. Its totient is φ = 65691648.

The previous prime is 200092961. The next prime is 200093027. The reversal of 200093004 is 400390002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778444 + ... + 778700.

It is an arithmetic number, because the mean of its divisors is an integer number (5553450).

Almost surely, 2200093004 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 200093004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266565600).

200093004 is an abundant number, since it is smaller than the sum of its proper divisors (333038196).

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

200093004 is an equidigital number, since it uses as much as digits as its factorization.

200093004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 200093004 is about 14145.4234295054. The cubic root of 200093004 is about 584.8941820437.

The spelling of 200093004 in words is "two hundred million, ninety-three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 108 162 178 243 257 267 324 356 486 514 534 729 771 801 972 1028 1068 1458 1542 1602 2187 2313 2403 2916 3084 3204 4374 4626 4806 6939 7209 8748 9252 9612 13878 14418 20817 21627 22873 27756 28836 41634 43254 45746 62451 64881 68619 83268 86508 91492 124902 129762 137238 187353 194643 205857 249804 259524 274476 374706 389286 411714 562059 617571 749412 778572 823428 1124118 1235142 1852713 2248236 2470284 3705426 5558139 7410852 11116278 16674417 22232556 33348834 50023251 66697668 100046502 200093004