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200174004 = 22345311657
BaseRepresentation
bin10111110111001…
…10100110110100
3111221122220010000
423323212212310
5402221032004
631510231300
74650310452
oct1373464664
9457586100
10200174004
11a2aa1768
1257055530
1332618574
141c8299d2
1512890c39
hexbee69b4

200174004 has 60 divisors (see below), whose sum is σ = 533213604. Its totient is φ = 65460096.

The previous prime is 200173999. The next prime is 200174017. The reversal of 200174004 is 400471002.

It is a happy number.

200174004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 145443600 + 54730404 = 12060^2 + 7398^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11344 + ... + 23000.

Almost surely, 2200174004 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 200174004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266606802).

200174004 is an abundant number, since it is smaller than the sum of its proper divisors (333039600).

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

200174004 is a wasteful number, since it uses less digits than its factorization.

200174004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11726 (or 11715 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 200174004 is about 14148.2862566461. The cubic root of 200174004 is about 584.9730954096.

The spelling of 200174004 in words is "two hundred million, one hundred seventy-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 954 1431 1908 2862 4293 5724 8586 11657 17172 23314 34971 46628 69942 104913 139884 209826 314739 419652 617821 629478 944217 1235642 1258956 1853463 1888434 2471284 3706926 3776868 5560389 7413852 11120778 16681167 22241556 33362334 50043501 66724668 100087002 200174004