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199143864 = 233219149977
BaseRepresentation
bin10111101111010…
…11000110111000
3111212201120000200
423313223012320
5401440100424
631432202200
74635460233
oct1367530670
9455646020
10199143864
11a2458807
1256839360
133234770a
141c63c41a
151273a8c9
hexbdeb1b8

199143864 has 96 divisors (see below), whose sum is σ = 572130000. Its totient is φ = 62401536.

The previous prime is 199143851. The next prime is 199143871. The reversal of 199143864 is 468341991.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 203344 + ... + 204320.

Almost surely, 2199143864 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 199143864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286065000).

199143864 is an abundant number, since it is smaller than the sum of its proper divisors (372986136).

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

199143864 is a wasteful number, since it uses less digits than its factorization.

199143864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1150 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 199143864 is about 14111.8341826993. The cubic root of 199143864 is about 583.9679018450.

The spelling of 199143864 in words is "one hundred ninety-nine million, one hundred forty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 149 152 171 228 298 342 447 456 596 684 894 977 1192 1341 1368 1788 1954 2682 2831 2931 3576 3908 5364 5662 5862 7816 8493 8793 10728 11324 11724 16986 17586 18563 22648 23448 25479 33972 35172 37126 50958 55689 67944 70344 74252 101916 111378 145573 148504 167067 203832 222756 291146 334134 436719 445512 582292 668268 873438 1164584 1310157 1336536 1746876 2620314 2765887 3493752 5240628 5531774 8297661 10481256 11063548 16595322 22127096 24892983 33190644 49785966 66381288 99571932 199143864