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200416424 = 23132271547
BaseRepresentation
bin10111111001000…
…01110010101000
3111222010012122112
423330201302220
5402301311144
631515341452
74652340305
oct1374416250
9458105575
10200416424
11a314790a
1257151888
13326a1a00
141c8900ac
15128dc99e
hexbf21ca8

200416424 has 48 divisors (see below), whose sum is σ = 409158720. Its totient is φ = 91990080.

The previous prime is 200416423. The next prime is 200416429. The reversal of 200416424 is 424614002.

200416424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 200416424.

It is not an unprimeable number, because it can be changed into a prime (200416423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366119 + ... + 366665.

It is an arithmetic number, because the mean of its divisors is an integer number (8524140).

Almost surely, 2200416424 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 200416424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204579360).

200416424 is an abundant number, since it is smaller than the sum of its proper divisors (208742296).

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

200416424 is a wasteful number, since it uses less digits than its factorization.

200416424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 200416424 is about 14156.8507797462. The cubic root of 200416424 is about 585.2091433273.

The spelling of 200416424 in words is "two hundred million, four hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 169 271 338 542 547 676 1084 1094 1352 2168 2188 3523 4376 7046 7111 14092 14222 28184 28444 45799 56888 91598 92443 148237 183196 184886 296474 366392 369772 592948 739544 1185896 1927081 3854162 7708324 15416648 25052053 50104106 100208212 200416424