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220789881 = 341321272
BaseRepresentation
bin11010010100011…
…11110001111001
3120101110021210000
431022033301321
5423010234011
633524143213
75320453164
oct1512176171
9511407700
10220789881
111036a2784
1261b37b09
1336986100
1421474adb
15145b4356
hexd28fc79

220789881 has 45 divisors (see below), whose sum is σ = 359978751. Its totient is φ = 134800848.

The previous prime is 220789867. The next prime is 220789883. The reversal of 220789881 is 188987022.

It is a happy number.

The square root of 220789881 is 14859.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32661225 + 188128656 = 5715^2 + 13716^2 .

It is not a de Polignac number, because 220789881 - 29 = 220789369 is a prime.

It is a super-2 number, since 2×2207898812 = 97496343103988322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220789883) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1738440 + ... + 1738566.

Almost surely, 2220789881 is an apocalyptic number.

220789881 is the 14859-th square number.

220789881 is the 7430-th centered octagonal number.

It is an amenable number.

220789881 is a deficient number, since it is larger than the sum of its proper divisors (139188870).

220789881 is an equidigital number, since it uses as much as digits as its factorization.

220789881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The cubic root of 220789881 is about 604.4026898513.

The spelling of 220789881 in words is "two hundred twenty million, seven hundred eighty-nine thousand, eight hundred eighty-one".

Divisors: 1 3 9 13 27 39 81 117 127 169 351 381 507 1053 1143 1521 1651 3429 4563 4953 10287 13689 14859 16129 21463 44577 48387 64389 133731 145161 193167 209677 435483 579501 629031 1306449 1738503 1887093 2725801 5661279 8177403 16983837 24532209 73596627 220789881