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200400012 = 223217232619
BaseRepresentation
bin10111111000111…
…01110010001100
3111222002101010200
423330131302030
5402300300022
631515133500
74652241411
oct1374356214
9458071120
10200400012
11a313654a
1257144290
13326973b7
141c888108
15128d7bac
hexbf1dc8c

200400012 has 108 divisors (see below), whose sum is σ = 561604680. Its totient is φ = 60039936.

The previous prime is 200400007. The next prime is 200400017. The reversal of 200400012 is 210004002.

It is an interprime number because it is at equal distance from previous prime (200400007) and next prime (200400017).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200399967 and 200400003.

It is not an unprimeable number, because it can be changed into a prime (200400017) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 323439 + ... + 324057.

Almost surely, 2200400012 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 200400012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280802340).

200400012 is an abundant number, since it is smaller than the sum of its proper divisors (361204668).

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

200400012 is a wasteful number, since it uses less digits than its factorization.

200400012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 200400012 is about 14156.2711191895. The cubic root of 200400012 is about 585.1931687306.

Adding to 200400012 its reverse (210004002), we get a palindrome (410404014).

The spelling of 200400012 in words is "two hundred million, four hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 306 391 414 529 612 619 782 828 1058 1173 1238 1564 1587 1857 2116 2346 2476 3174 3519 3714 4692 4761 5571 6348 7038 7428 8993 9522 10523 11142 14076 14237 17986 19044 21046 22284 26979 28474 31569 35972 42092 42711 53958 56948 63138 80937 85422 94707 107916 126276 128133 161874 170844 189414 242029 256266 323748 327451 378828 484058 512532 654902 726087 968116 982353 1309804 1452174 1964706 2178261 2904348 2947059 3929412 4356522 5566667 5894118 8713044 11133334 11788236 16700001 22266668 33400002 50100003 66800004 100200006 200400012