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220042040 = 23519419691
BaseRepresentation
bin11010001110110…
…01001100111000
3120100001021221012
431013121030320
5422312321130
633500133052
75311216661
oct1507311470
9510037835
10220042040
11103231929
1261837188
13367838ba
142131c368
15144b7995
hexd1d9338

220042040 has 64 divisors (see below), whose sum is σ = 523152000. Its totient is φ = 83064960.

The previous prime is 220042037. The next prime is 220042049. The reversal of 220042040 is 40240022.

It is a happy number.

220042040 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 not an unprimeable number, because it can be changed into a prime (220042049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318095 + ... + 318785.

It is an arithmetic number, because the mean of its divisors is an integer number (8174250).

Almost surely, 2220042040 is an apocalyptic number.

220042040 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 220042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261576000).

220042040 is an abundant number, since it is smaller than the sum of its proper divisors (303109960).

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

220042040 is a wasteful number, since it uses less digits than its factorization.

220042040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 220042040 is about 14833.8140746067. The cubic root of 220042040 is about 603.7195238858.

Adding to 220042040 its reverse (40240022), we get a palindrome (260282062).

The spelling of 220042040 in words is "two hundred twenty million, forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 419 691 760 838 1382 1676 2095 2764 3352 3455 4190 5528 6910 7961 8380 13129 13820 15922 16760 26258 27640 31844 39805 52516 63688 65645 79610 105032 131290 159220 262580 289529 318440 525160 579058 1158116 1447645 2316232 2895290 5501051 5790580 11002102 11581160 22004204 27505255 44008408 55010510 110021020 220042040