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200114004 = 223172193037
BaseRepresentation
bin10111110110101…
…11111101010100
3111221112211210210
423323113331110
5402212122004
631505045420
74646640516
oct1373277524
9457484723
10200114004
11a2a60682
1257026870
13325c716c
141c811bb6
151287d089
hexbed7f54

200114004 has 72 divisors (see below), whose sum is σ = 522292960. Its totient is φ = 59457024.

The previous prime is 200113999. The next prime is 200114029. The reversal of 200114004 is 400411002.

It is a super-2 number, since 2×2001140042 = 80091229193824032, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64374 + ... + 67410.

Almost surely, 2200114004 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 200114004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261146480).

200114004 is an abundant number, since it is smaller than the sum of its proper divisors (322178956).

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

200114004 is a wasteful number, since it uses less digits than its factorization.

200114004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 200114004 is about 14146.1656995809. The cubic root of 200114004 is about 584.9146431091.

Adding to 200114004 its reverse (400411002), we get a palindrome (600525006).

The spelling of 200114004 in words is "two hundred million, one hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 289 323 578 646 867 969 1156 1292 1734 1938 3037 3468 3876 5491 6074 9111 10982 12148 16473 18222 21964 32946 36444 51629 57703 65892 103258 115406 154887 173109 206516 230812 309774 346218 619548 692436 877693 980951 1755386 1961902 2633079 2942853 3510772 3923804 5266158 5885706 10532316 11771412 16676167 33352334 50028501 66704668 100057002 200114004