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199800144 = 24321387501
BaseRepresentation
bin10111110100010…
…11010101010000
3111220221220021100
423322023111100
5402122101034
631454224400
74644162465
oct1372132520
9456856240
10199800144
11a2866895
1256ab5100
133251734b
141c76d66c
151281a099
hexbe8b550

199800144 has 30 divisors (see below), whose sum is σ = 559163306. Its totient is φ = 66600000.

The previous prime is 199800131. The next prime is 199800157. The reversal of 199800144 is 441008991.

199800144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199800131) and next prime (199800157).

It can be written as a sum of positive squares in only one way, i.e., 195440400 + 4359744 = 13980^2 + 2088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 199800099 and 199800108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 693607 + ... + 693894.

Almost surely, 2199800144 is an apocalyptic number.

It is an amenable number.

199800144 is an abundant number, since it is smaller than the sum of its proper divisors (359363162).

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

199800144 is a wasteful number, since it uses less digits than its factorization.

199800144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387515 (or 1387506 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 199800144 is about 14135.0678809831. The cubic root of 199800144 is about 584.6086885589.

The spelling of 199800144 in words is "one hundred ninety-nine million, eight hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1387501 2775002 4162503 5550004 8325006 11100008 12487509 16650012 22200016 24975018 33300024 49950036 66600048 99900072 199800144