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200505004 = 22717676287
BaseRepresentation
bin10111111001101…
…11011010101100
3111222021201011021
423330313122230
5402312130004
631521303524
74653156460
oct1374673254
9458251137
10200505004
11a31a8417
1257194ba4
133270311b
141c8b44a0
1512908d54
hexbf376ac

200505004 has 48 divisors (see below), whose sum is σ = 431004672. Its totient is φ = 79656192.

The previous prime is 200504999. The next prime is 200505013. The reversal of 200505004 is 400505002.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28749 + ... + 35035.

It is an arithmetic number, because the mean of its divisors is an integer number (8979264).

Almost surely, 2200505004 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 200505004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215502336).

200505004 is an abundant number, since it is smaller than the sum of its proper divisors (230499668).

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

200505004 is a wasteful number, since it uses less digits than its factorization.

200505004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6382 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 200505004 is about 14159.9789547866. The cubic root of 200505004 is about 585.2953474910.

The spelling of 200505004 in words is "two hundred million, five hundred five thousand, four".

Divisors: 1 2 4 7 14 17 28 34 67 68 119 134 238 268 469 476 938 1139 1876 2278 4556 6287 7973 12574 15946 25148 31892 44009 88018 106879 176036 213758 421229 427516 748153 842458 1496306 1684916 2948603 2992612 5897206 7160893 11794412 14321786 28643572 50126251 100252502 200505004