Search a number
-
+
214741747080 = 23345728333457
BaseRepresentation
bin1100011111111110011…
…0110000010110001000
3202112021201111000210000
43013333212300112020
512004242341401310
6242352340523000
721341333506320
oct3077746602610
9675251430700
10214741747080
1183087132a53
12357506b0460
13173334c6243
14a571cbc280
1558bc7744c0
hex31ff9b0588

214741747080 has 320 divisors, whose sum is σ = 827820512640. Its totient is φ = 48908924928.

The previous prime is 214741747069. The next prime is 214741747139. The reversal of 214741747080 is 80747147412.

214741747080 is a `hidden beast` number, since 2 + 1 + 474 + 174 + 7 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×2147417470802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6401712 + ... + 6435168.

It is an arithmetic number, because the mean of its divisors is an integer number (2586939102).

Almost surely, 2214741747080 is an apocalyptic number.

214741747080 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 214741747080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413910256320).

214741747080 is an abundant number, since it is smaller than the sum of its proper divisors (613078765560).

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

214741747080 is a wasteful number, since it uses less digits than its factorization.

214741747080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33770 (or 33757 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 214741747080 in words is "two hundred fourteen billion, seven hundred forty-one million, seven hundred forty-seven thousand, eighty".