Search a number
-
+
193291020 = 22325131743113
BaseRepresentation
bin10111000010101…
…10001100001100
3111110201012102200
423201112030030
5343440303040
631102521500
74534642446
oct1341261414
9443635380
10193291020
119a12044a
1254896290
13310786b0
141b957496
1511e81630
hexb85630c

193291020 has 288 divisors, whose sum is σ = 690161472. Its totient is φ = 43352064.

The previous prime is 193290989. The next prime is 193291031. The reversal of 193291020 is 20192391.

It is a super-2 number, since 2×1932910202 = 74722836825280800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1710484 + ... + 1710596.

It is an arithmetic number, because the mean of its divisors is an integer number (2396394).

Almost surely, 2193291020 is an apocalyptic number.

193291020 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 193291020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345080736).

193291020 is an abundant number, since it is smaller than the sum of its proper divisors (496870452).

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

193291020 is a wasteful number, since it uses less digits than its factorization.

193291020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 193291020 is about 13902.9140830259. The cubic root of 193291020 is about 578.1899775810.

The spelling of 193291020 in words is "one hundred ninety-three million, two hundred ninety-one thousand, twenty".