Search a number
-
+
198893464 = 23711734423
BaseRepresentation
bin10111101101011…
…01111110011000
3111212020211112121
423312231332120
5401404042324
631422551024
74633365220
oct1366557630
9455224477
10198893464
11a22a7670
1256738474
133228a753
141c5b5080
15126db5e4
hexbdadf98

198893464 has 64 divisors (see below), whose sum is σ = 471421440. Its totient is φ = 76412160.

The previous prime is 198893441. The next prime is 198893467. The reversal of 198893464 is 464398891.

It is a happy number.

It is a super-2 number, since 2×1988934642 = 79117220043838592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198893467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42757 + ... + 47179.

It is an arithmetic number, because the mean of its divisors is an integer number (7365960).

Almost surely, 2198893464 is an apocalyptic number.

198893464 is a gapful number since it is divisible by the number (14) 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 198893464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235710720).

198893464 is an abundant number, since it is smaller than the sum of its proper divisors (272527976).

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

198893464 is a wasteful number, since it uses less digits than its factorization.

198893464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4520 (or 4516 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 52.

The square root of 198893464 is about 14102.9594057418. The cubic root of 198893464 is about 583.7230421915.

The spelling of 198893464 in words is "one hundred ninety-eight million, eight hundred ninety-three thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 73 77 88 146 154 292 308 511 584 616 803 1022 1606 2044 3212 4088 4423 5621 6424 8846 11242 17692 22484 30961 35384 44968 48653 61922 97306 123844 194612 247688 322879 340571 389224 645758 681142 1291516 1362284 2260153 2583032 2724568 3551669 4520306 7103338 9040612 14206676 18081224 24861683 28413352 49723366 99446732 198893464