Search a number
-
+
197538580224 = 28353838291
BaseRepresentation
bin1011011111111000110…
…1111000011100000000
3200212212210200121100000
42313332031320130000
511214024334031344
6230425321200000
720162122141026
oct2677615703400
9625783617300
10197538580224
1176859419087
123234b330000
13158213aa27b
1497bd234716
155212319a69
hex2dfe378700

197538580224 has 216 divisors, whose sum is σ = 592260544512. Its totient is φ = 65666350080.

The previous prime is 197538580207. The next prime is 197538580231. The reversal of 197538580224 is 422085835791.

197538580224 is a `hidden beast` number, since 1 + 9 + 7 + 5 + 38 + 580 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23821519 + ... + 23829809.

Almost surely, 2197538580224 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 197538580224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296130272256).

197538580224 is an abundant number, since it is smaller than the sum of its proper divisors (394721964288).

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

197538580224 is an frugal number, since it uses more digits than its factorization.

197538580224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8705 (or 8679 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 197538580224 in words is "one hundred ninety-seven billion, five hundred thirty-eight million, five hundred eighty thousand, two hundred twenty-four".