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199252992 = 2103371753
BaseRepresentation
bin10111110000001…
…01110000000000
3111212221002201110
423320011300000
5402002043432
631434403320
74636423341
oct1370056000
9455832643
10199252992
11a25227a4
1256890540
13323852a3
141c66a0c8
151275cdcc
hexbe05c00

199252992 has 88 divisors (see below), whose sum is σ = 545746576. Its totient is φ = 64585728.

The previous prime is 199252987. The next prime is 199253003. The reversal of 199252992 is 299252991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112788 + ... + 114540.

Almost surely, 2199252992 is an apocalyptic number.

199252992 is a gapful number since it is divisible by the number (12) 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 199252992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272873288).

199252992 is an abundant number, since it is smaller than the sum of its proper divisors (346493584).

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

199252992 is a wasteful number, since it uses less digits than its factorization.

199252992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1795 counting only the distinct ones).

The product of its digits is 262440, while the sum is 48.

The square root of 199252992 is about 14115.7001951727. The cubic root of 199252992 is about 584.0745510632.

Subtracting 199252992 from its reverse (299252991), we obtain a palindrome (99999999).

The spelling of 199252992 in words is "one hundred ninety-nine million, two hundred fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1024 1184 1536 1753 1776 2368 3072 3506 3552 4736 5259 7012 7104 9472 10518 14024 14208 18944 21036 28048 28416 37888 42072 56096 56832 64861 84144 112192 113664 129722 168288 194583 224384 259444 336576 389166 448768 518888 673152 778332 897536 1037776 1346304 1556664 1795072 2075552 2692608 3113328 4151104 5385216 6226656 8302208 12453312 16604416 24906624 33208832 49813248 66417664 99626496 199252992