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220773940 = 22531973671
BaseRepresentation
bin11010010100010…
…11111000110100
3120101102110220121
431022023320310
5423004231230
633523541324
75320355542
oct1512137064
9511373817
10220773940
11103691802
1261b2a844
133697ba8a
142146cd92
15145ae77a
hexd28be34

220773940 has 48 divisors (see below), whose sum is σ = 483646464. Its totient is φ = 84556800.

The previous prime is 220773913. The next prime is 220773947. The reversal of 220773940 is 49377022.

220773940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2207739402 = 97482265166247200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220773896 and 220773905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220773947) 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, 58305 + ... + 61975.

It is an arithmetic number, because the mean of its divisors is an integer number (10075968).

Almost surely, 2220773940 is an apocalyptic number.

220773940 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 220773940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241823232).

220773940 is an abundant number, since it is smaller than the sum of its proper divisors (262872524).

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

220773940 is a wasteful number, since it uses less digits than its factorization.

220773940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808 (or 3806 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 220773940 is about 14858.4635814071. The cubic root of 220773940 is about 604.3881435700.

The spelling of 220773940 in words is "two hundred twenty million, seven hundred seventy-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 31 62 97 124 155 194 310 388 485 620 970 1940 3007 3671 6014 7342 12028 14684 15035 18355 30070 36710 60140 73420 113801 227602 356087 455204 569005 712174 1138010 1424348 1780435 2276020 3560870 7121740 11038697 22077394 44154788 55193485 110386970 220773940