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200145144 = 23397149577
BaseRepresentation
bin10111110110111…
…11100011111000
3111221121102112010
423323133203320
5402214121034
631505445520
74650130353
oct1373374370
9457542463
10200145144
11a2a82011
12570408a0
13326083a4
141c81d29a
15128873e9
hexbedf8f8

200145144 has 64 divisors (see below), whose sum is σ = 509796000. Its totient is φ = 65470464.

The previous prime is 200145109. The next prime is 200145167. The reversal of 200145144 is 441541002.

200145144 = T192 + T193 + ... + T1064.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 200145144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346584 + ... + 347160.

Almost surely, 2200145144 is an apocalyptic number.

200145144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200145144 is an abundant number, since it is smaller than the sum of its proper divisors (309650856).

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

200145144 is a wasteful number, since it uses less digits than its factorization.

200145144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 200145144 is about 14147.2663083721. The cubic root of 200145144 is about 584.9449813112.

Adding to 200145144 its reverse (441541002), we get a palindrome (641686146).

The spelling of 200145144 in words is "two hundred million, one hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 97 149 194 291 298 388 447 577 582 596 776 894 1154 1164 1192 1731 1788 2308 2328 3462 3576 4616 6924 13848 14453 28906 43359 55969 57812 85973 86718 111938 115624 167907 171946 173436 223876 257919 335814 343892 346872 447752 515838 671628 687784 1031676 1343256 2063352 8339381 16678762 25018143 33357524 50036286 66715048 100072572 200145144