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220731696 = 2433661773
BaseRepresentation
bin11010010100000…
…01100100110000
3120101100022222000
431022001210300
5423001403241
633523014000
75320121433
oct1512014460
9511308860
10220731696
11103662a99
1261b0a300
1336965793
142145b81a
15145a1eb6
hexd281930

220731696 has 80 divisors (see below), whose sum is σ = 635361120. Its totient is φ = 73370880.

The previous prime is 220731661. The next prime is 220731727. The reversal of 220731696 is 696137022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 220731696.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285166 + ... + 285938.

It is an arithmetic number, because the mean of its divisors is an integer number (7942014).

Almost surely, 2220731696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220731696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317680560).

220731696 is an abundant number, since it is smaller than the sum of its proper divisors (414629424).

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

220731696 is a wasteful number, since it uses less digits than its factorization.

220731696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 220731696 is about 14857.0419666904. The cubic root of 220731696 is about 604.3495922184.

The spelling of 220731696 in words is "two hundred twenty million, seven hundred thirty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 661 773 1322 1546 1983 2319 2644 3092 3966 4638 5288 5949 6184 6957 7932 9276 10576 11898 12368 13914 15864 17847 18552 20871 23796 27828 31728 35694 37104 41742 47592 55656 71388 83484 95184 111312 142776 166968 285552 333936 510953 1021906 1532859 2043812 3065718 4087624 4598577 6131436 8175248 9197154 12262872 13795731 18394308 24525744 27591462 36788616 55182924 73577232 110365848 220731696