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216465060 = 223571134561
BaseRepresentation
bin11001110011011…
…11111010100100
3120002022120020110
430321233322210
5420403340220
633251333020
75235631320
oct1471577244
9502276213
10216465060
11101209449
12605b1170
1335b00746
1420a6a980
151400cbe0
hexce6fea4

216465060 has 96 divisors (see below), whose sum is σ = 698971392. Its totient is φ = 49029120.

The previous prime is 216465031. The next prime is 216465061. The reversal of 216465060 is 60564612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (216465061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45180 + ... + 49740.

It is an arithmetic number, because the mean of its divisors is an integer number (7280952).

Almost surely, 2216465060 is an apocalyptic number.

216465060 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 216465060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349485696).

216465060 is an abundant number, since it is smaller than the sum of its proper divisors (482506332).

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

216465060 is a wasteful number, since it uses less digits than its factorization.

216465060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4693 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 216465060 is about 14712.7516121221. The cubic root of 216465060 is about 600.4303024370.

The spelling of 216465060 in words is "two hundred sixteen million, four hundred sixty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 113 140 210 226 339 420 452 565 678 791 1130 1356 1582 1695 2260 2373 3164 3390 3955 4561 4746 6780 7910 9122 9492 11865 13683 15820 18244 22805 23730 27366 31927 45610 47460 54732 63854 68415 91220 95781 127708 136830 159635 191562 273660 319270 383124 478905 515393 638540 957810 1030786 1546179 1915620 2061572 2576965 3092358 3607751 5153930 6184716 7215502 7730895 10307860 10823253 14431004 15461790 18038755 21646506 30923580 36077510 43293012 54116265 72155020 108232530 216465060