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190117200 = 243527131741
BaseRepresentation
bin10110101010011…
…11010101010000
3111020201221202210
423111033111100
5342132222300
630510512120
74465653360
oct1325172520
9436657683
10190117200
1198352959
1253805640
1330506bb0
141b36c9a0
1511a56050
hexb54f550

190117200 has 240 divisors, whose sum is σ = 749979776. Its totient is φ = 40089600.

The previous prime is 190117183. The next prime is 190117217. The reversal of 190117200 is 2711091.

190117200 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 (190117183) and next prime (190117217).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1901172002 = 72289099471680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108330 + ... + 110070.

Almost surely, 2190117200 is an apocalyptic number.

190117200 is a gapful number since it is divisible by the number (10) 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 190117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374989888).

190117200 is an abundant number, since it is smaller than the sum of its proper divisors (559862576).

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

190117200 is a wasteful number, since it uses less digits than its factorization.

190117200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 190117200 is about 13788.2993875242. The cubic root of 190117200 is about 575.0078889907.

Adding to 190117200 its reverse (2711091), we get a palindrome (192828291).

The spelling of 190117200 in words is "one hundred ninety million, one hundred seventeen thousand, two hundred".