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198469440 = 26345131931
BaseRepresentation
bin10111101010001…
…10011101000000
3111211110021220000
423311012131000
5401302010230
631405520000
74626651051
oct1365063500
9454407800
10198469440
11a2038034
1256573000
133216c750
141c504728
1512655b60
hexbd46740

198469440 has 560 divisors, whose sum is σ = 826129920. Its totient is φ = 44789760.

The previous prime is 198469433. The next prime is 198469463. The reversal of 198469440 is 44964891.

It is a super-2 number, since 2×1984694402 = 78780237227827200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6402225 + ... + 6402255.

It is an arithmetic number, because the mean of its divisors is an integer number (1475232).

Almost surely, 2198469440 is an apocalyptic number.

198469440 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 198469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413064960).

198469440 is an abundant number, since it is smaller than the sum of its proper divisors (627660480).

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

198469440 is a wasteful number, since it uses less digits than its factorization.

198469440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 198469440 is about 14087.9182280421. The cubic root of 198469440 is about 583.3079310480.

The spelling of 198469440 in words is "one hundred ninety-eight million, four hundred sixty-nine thousand, four hundred forty".