Search a number
-
+
221640358300 = 2252113115117041
BaseRepresentation
bin1100111001101011001…
…0110111100110011100
3210012002111102210022021
43032122302313212130
512112404412431200
6245453054025524
722004311650424
oct3163262674634
9705074383267
10221640358300
1185aa7227739
1236b56aa82a4
1317b927c050a
14aa281a5484
155b7321241a
hex339acb799c

221640358300 has 72 divisors (see below), whose sum is σ = 485665915392. Its totient is φ = 87790080000.

The previous prime is 221640358271. The next prime is 221640358307. The reversal of 221640358300 is 3853046122.

221640358300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221640358307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12997780 + ... + 13014820.

It is an arithmetic number, because the mean of its divisors is an integer number (6745359936).

Almost surely, 2221640358300 is an apocalyptic number.

221640358300 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 221640358300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242832957696).

221640358300 is an abundant number, since it is smaller than the sum of its proper divisors (264025557092).

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

221640358300 is a wasteful number, since it uses less digits than its factorization.

221640358300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18319 (or 18312 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 221640358300 in words is "two hundred twenty-one billion, six hundred forty million, three hundred fifty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 1151 2260 2302 2825 4604 5650 5755 11300 11510 17041 23020 28775 34082 57550 68164 85205 115100 130063 170410 260126 340820 426025 520252 650315 852050 1300630 1704100 1925633 2601260 3251575 3851266 6503150 7702532 9628165 13006300 19256330 19614191 38512660 39228382 48140825 78456764 96281650 98070955 192563300 196141910 392283820 490354775 980709550 1961419100 2216403583 4432807166 8865614332 11082017915 22164035830 44328071660 55410089575 110820179150 221640358300