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199408640 = 2105172979
BaseRepresentation
bin10111110001010…
…11110000000000
3111220020000020012
423320223300000
5402022034030
631442004052
74640642204
oct1370536000
9456200205
10199408640
11a2619732
1256946628
133240b0a2
141c6aab04
151278e095
hexbe2bc00

199408640 has 176 divisors, whose sum is σ = 530582400. Its totient is φ = 71565312.

The previous prime is 199408619. The next prime is 199408663. The reversal of 199408640 is 46804991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2524121 + ... + 2524199.

Almost surely, 2199408640 is an apocalyptic number.

199408640 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 199408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265291200).

199408640 is an abundant number, since it is smaller than the sum of its proper divisors (331173760).

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

199408640 is a wasteful number, since it uses less digits than its factorization.

199408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 199408640 is about 14121.2124125374. The cubic root of 199408640 is about 584.2265962485.

The spelling of 199408640 in words is "one hundred ninety-nine million, four hundred eight thousand, six hundred forty".