Search a number
-
+
220707040 = 2551979919
BaseRepresentation
bin11010010011110…
…11100011100000
3120101022002010211
431021323203200
5423000111130
633522303504
75316656521
oct1511734340
9511262124
10220707040
11103646514
1261ab7b94
13369574a8
1421452848
1514599a2a
hexd27b8e0

220707040 has 96 divisors (see below), whose sum is σ = 556416000. Its totient is φ = 82487808.

The previous prime is 220707037. The next prime is 220707049. The reversal of 220707040 is 40707022.

220707040 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 (220707049) 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, 239701 + ... + 240619.

It is an arithmetic number, because the mean of its divisors is an integer number (5796000).

Almost surely, 2220707040 is an apocalyptic number.

220707040 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 220707040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278208000).

220707040 is an abundant number, since it is smaller than the sum of its proper divisors (335708960).

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

220707040 is a wasteful number, since it uses less digits than its factorization.

220707040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 220707040 is about 14856.2121686519. The cubic root of 220707040 is about 604.3270891846.

The spelling of 220707040 in words is "two hundred twenty million, seven hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 79 80 95 152 158 160 190 304 316 380 395 608 632 760 790 919 1264 1501 1520 1580 1838 2528 3002 3040 3160 3676 4595 6004 6320 7352 7505 9190 12008 12640 14704 15010 17461 18380 24016 29408 30020 34922 36760 48032 60040 69844 72601 73520 87305 120080 139688 145202 147040 174610 240160 279376 290404 349220 363005 558752 580808 698440 726010 1161616 1379419 1396880 1452020 2323232 2758838 2793760 2904040 5517676 5808080 6897095 11035352 11616160 13794190 22070704 27588380 44141408 55176760 110353520 220707040