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200350152 = 23331396673
BaseRepresentation
bin10111111000100…
…01100111001000
3111221222211202000
423330101213020
5402242201102
631514111000
74651643142
oct1374214710
9457884660
10200350152
11a3102042
125711b460
133267a7b2
141c873c92
15128c801c
hexbf119c8

200350152 has 64 divisors (see below), whose sum is σ = 560616000. Its totient is φ = 66292992.

The previous prime is 200350109. The next prime is 200350159. The reversal of 200350152 is 251053002.

It is a happy number.

200350152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (200350159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26688 + ... + 33360.

It is an arithmetic number, because the mean of its divisors is an integer number (8759625).

Almost surely, 2200350152 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 200350152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280308000).

200350152 is an abundant number, since it is smaller than the sum of its proper divisors (360265848).

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

200350152 is a wasteful number, since it uses less digits than its factorization.

200350152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6827 (or 6817 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 200350152 is about 14154.5099526617. The cubic root of 200350152 is about 585.1446322206.

The spelling of 200350152 in words is "two hundred million, three hundred fifty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 139 216 278 417 556 834 1112 1251 1668 2502 3336 3753 5004 6673 7506 10008 13346 15012 20019 26692 30024 40038 53384 60057 80076 120114 160152 180171 240228 360342 480456 720684 927547 1441368 1855094 2782641 3710188 5565282 7420376 8347923 11130564 16695846 22261128 25043769 33391692 50087538 66783384 100175076 200350152