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220477972 = 221121367523
BaseRepresentation
bin11010010010000…
…11101000010100
3120100212102220211
431021003220110
5422420243342
633513335204
75315013631
oct1511035024
9510772824
10220477972
111034aa400
1261a07504
13368a7150
14213d3188
1514551c17
hexd243a14

220477972 has 72 divisors (see below), whose sum is σ = 464427488. Its totient is φ = 90953280.

The previous prime is 220477967. The next prime is 220478021. The reversal of 220477972 is 279774022.

It is a super-2 number, since 2×2204779722 = 97221072274465568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421303 + ... + 421825.

Almost surely, 2220477972 is an apocalyptic number.

220477972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

220477972 is an abundant number, since it is smaller than the sum of its proper divisors (243949516).

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

220477972 is a wasteful number, since it uses less digits than its factorization.

220477972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The square root of 220477972 is about 14848.5006650503. The cubic root of 220477972 is about 604.1179432849.

The spelling of 220477972 in words is "two hundred twenty million, four hundred seventy-seven thousand, nine hundred seventy-two".

Divisors: 1 2 4 11 13 22 26 44 52 67 121 134 143 242 268 286 484 523 572 737 871 1046 1474 1573 1742 2092 2948 3146 3484 5753 6292 6799 8107 9581 11506 13598 16214 19162 23012 27196 32428 35041 38324 63283 70082 74789 105391 126566 140164 149578 210782 253132 299156 385451 421564 455533 770902 822679 911066 1541804 1645358 1822132 3290716 4239961 5010863 8479922 10021726 16959844 20043452 55119493 110238986 220477972