Search a number
-
+
193464936 = 233672677
BaseRepresentation
bin10111000100000…
…00101001101000
3111111001001000000
423202000221220
5344011334221
631110343000
74536265500
oct1342005150
9444031000
10193464936
119a22a085
125495aa60
13311098c2
141b9a0a00
1511eb7e26
hexb880a68

193464936 has 168 divisors, whose sum is σ = 633601170. Its totient is φ = 55194048.

The previous prime is 193464923. The next prime is 193464967. The reversal of 193464936 is 639464391.

It can be written as a sum of positive squares in only one way, i.e., 104162436 + 89302500 = 10206^2 + 9450^2 .

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1934649362 = 74857362922968192, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 193464891 and 193464900.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 285430 + ... + 286106.

Almost surely, 2193464936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193464936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316800585).

193464936 is an abundant number, since it is smaller than the sum of its proper divisors (440136234).

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

193464936 is an equidigital number, since it uses as much as digits as its factorization.

193464936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 689 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 193464936 is about 13909.1673366884. The cubic root of 193464936 is about 578.3633368059.

The spelling of 193464936 in words is "one hundred ninety-three million, four hundred sixty-four thousand, nine hundred thirty-six".