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200464420 = 225132127467
BaseRepresentation
bin10111111001011…
…01100000100100
3111222012122111011
423330231200210
5402304330140
631520352004
74652630242
oct1374554044
9458178434
10200464420
11a317a982
1257175604
13326ba800
141c8a3792
15128ebcea
hexbf2d824

200464420 has 72 divisors (see below), whose sum is σ = 460422144. Its totient is φ = 73277568.

The previous prime is 200464403. The next prime is 200464423. The reversal of 200464420 is 24464002.

200464420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200464391 and 200464400.

It is not an unprimeable number, because it can be changed into a prime (200464423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429027 + ... + 429493.

It is an arithmetic number, because the mean of its divisors is an integer number (6394752).

Almost surely, 2200464420 is an apocalyptic number.

200464420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200464420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230211072).

200464420 is an abundant number, since it is smaller than the sum of its proper divisors (259957724).

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

200464420 is a wasteful number, since it uses less digits than its factorization.

200464420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 200464420 is about 14158.5458292863. The cubic root of 200464420 is about 585.2558551613.

The spelling of 200464420 in words is "two hundred million, four hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 127 130 169 254 260 338 467 508 635 676 845 934 1270 1651 1690 1868 2335 2540 3302 3380 4670 6071 6604 8255 9340 12142 16510 21463 24284 30355 33020 42926 59309 60710 78923 85852 107315 118618 121420 157846 214630 237236 296545 315692 394615 429260 593090 771017 789230 1186180 1542034 1578460 3084068 3855085 7710170 10023221 15420340 20046442 40092884 50116105 100232210 200464420