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220140272 = 241111311069
BaseRepresentation
bin11010001111100…
…01001011110000
3120100020021200102
431013301023300
5422323442042
633502211532
75312106242
oct1507611360
9510207612
10220140272
11103299710
1261883ba8
13367b9521
1421346092
15144d6b32
hexd1f12f0

220140272 has 40 divisors (see below), whose sum is σ = 469456560. Its totient is φ = 99169280.

The previous prime is 220140241. The next prime is 220140299. The reversal of 220140272 is 272041022.

It is a happy number.

220140272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14354 + ... + 25422.

It is an arithmetic number, because the mean of its divisors is an integer number (11736414).

Almost surely, 2220140272 is an apocalyptic number.

220140272 is a gapful number since it is divisible by the number (22) 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 220140272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234728280).

220140272 is an abundant number, since it is smaller than the sum of its proper divisors (249316288).

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

220140272 is a wasteful number, since it uses less digits than its factorization.

220140272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11201 (or 11195 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 220140272 is about 14837.1247888531. The cubic root of 220140272 is about 603.8093487718.

Adding to 220140272 its reverse (272041022), we get a palindrome (492181294).

The spelling of 220140272 in words is "two hundred twenty million, one hundred forty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 113 176 226 452 904 1243 1808 2486 4972 9944 11069 19888 22138 44276 88552 121759 177104 243518 487036 974072 1250797 1948144 2501594 5003188 10006376 13758767 20012752 27517534 55035068 110070136 220140272