Search a number
-
+
221470159680 = 263257115916927
BaseRepresentation
bin1100111001000010100…
…1100111001101000000
3210011122122011210200200
43032100221213031000
512112032330102210
6245424134045200
722000144203510
oct3162051471500
9704578153620
10221470159680
1185a1a149a20
1236b09aa9800
1317b6646b983
14aa0d73d840
155b632e30c0
hex3390a67340

221470159680 has 672 divisors, whose sum is σ = 965887303680. Its totient is φ = 45237104640.

The previous prime is 221470159661. The next prime is 221470159699. The reversal of 221470159680 is 86951074122.

221470159680 is a `hidden beast` number, since 2 + 2 + 1 + 470 + 15 + 96 + 80 = 666.

221470159680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221470159661) and next prime (221470159699).

It is a tau number, because it is divible by the number of its divisors (672).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13075377 + ... + 13092303.

Almost surely, 2221470159680 is an apocalyptic number.

221470159680 is a gapful number since it is divisible by the number (20) 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 221470159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482943651840).

221470159680 is an abundant number, since it is smaller than the sum of its proper divisors (744417144000).

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

221470159680 is a wasteful number, since it uses less digits than its factorization.

221470159680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17027 (or 17014 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 221470159680 in words is "two hundred twenty-one billion, four hundred seventy million, one hundred fifty-nine thousand, six hundred eighty".