Search a number
-
+
147199223808 = 211347313199
BaseRepresentation
bin1000100100010111000…
…0011110100000000000
3112001221120022100020000
42021011300132200000
54402431000130213
6151342234120000
713430506521000
oct2110560364000
9461846270200
10147199223808
115747714058a
1224640880000
1310b5b23cb40
1471a5808000
153c67c8ec73
hex2245c1e800

147199223808 has 960 divisors, whose sum is σ = 554954400000. Its totient is φ = 38626689024.

The previous prime is 147199223803. The next prime is 147199223827. The reversal of 147199223808 is 808322991741.

147199223808 is a `hidden beast` number, since 1 + 471 + 9 + 92 + 2 + 3 + 80 + 8 = 666.

It is a super-2 number, since 2×1471992238082 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (147199223803) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 739694493 + ... + 739694691.

It is an arithmetic number, because the mean of its divisors is an integer number (578077500).

Almost surely, 2147199223808 is an apocalyptic number.

147199223808 is a gapful number since it is divisible by the number (18) 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 147199223808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277477200000).

147199223808 is an abundant number, since it is smaller than the sum of its proper divisors (407755176192).

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

147199223808 is an equidigital number, since it uses as much as digits as its factorization.

147199223808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 147199223808 in words is "one hundred forty-seven billion, one hundred ninety-nine million, two hundred twenty-three thousand, eight hundred eight".