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220955436 = 223213472127
BaseRepresentation
bin11010010101110…
…00001100101100
3120101202200212200
431022320030230
5423031033221
633531501500
75322042642
oct1512701454
9511680780
10220955436
111037a60a9
1261bb7890
1336a13580
14214b9192
15145e8426
hexd2b832c

220955436 has 36 divisors (see below), whose sum is σ = 601491072. Its totient is φ = 67986144.

The previous prime is 220955429. The next prime is 220955491. The reversal of 220955436 is 634559022.

220955436 is a `hidden beast` number, since 2 + 20 + 95 + 543 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 220955436.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235596 + ... + 236531.

Almost surely, 2220955436 is an apocalyptic number.

220955436 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

220955436 is an abundant number, since it is smaller than the sum of its proper divisors (380535636).

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

220955436 is a wasteful number, since it uses less digits than its factorization.

220955436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472150 (or 472145 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 220955436 is about 14864.5698222317. The cubic root of 220955436 is about 604.5537186446.

The spelling of 220955436 in words is "two hundred twenty million, nine hundred fifty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 472127 944254 1416381 1888508 2832762 4249143 5665524 6137651 8498286 12275302 16996572 18412953 24550604 36825906 55238859 73651812 110477718 220955436