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224665572121 = 4327321512
BaseRepresentation
bin1101000100111100011…
…1001001001100011001
3210110220022220120111121
43101033013021030121
512140103341301441
6251113202525241
722142264565664
oct3211707111431
9713808816447
10224665572121
1187309949651
1237660066821
1318255492373
14ac33c926db
155c9dad6dd1
hex344f1c9319

224665572121 has 27 divisors (see below), whose sum is σ = 234760506687. Its totient is φ = 215001410400.

The previous prime is 224665572101. The next prime is 224665572139. The reversal of 224665572121 is 121275566422.

The square root of 224665572121 is 473989.

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., 127531123225 + 97134448896 = 357115^2 + 311664^2 .

It is not a de Polignac number, because 224665572121 - 233 = 216075637529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224665572101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1487851396 + ... + 1487851546.

It is an arithmetic number, because the mean of its divisors is an integer number (8694833581).

Almost surely, 2224665572121 is an apocalyptic number.

224665572121 is the 473989-th square number.

224665572121 is the 236995-th centered octagonal number.

It is an amenable number.

224665572121 is a deficient number, since it is larger than the sum of its proper divisors (10094934566).

224665572121 is an frugal number, since it uses more digits than its factorization.

224665572121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 267 counting only the distinct ones).

The product of its digits is 403200, while the sum is 43.

The spelling of 224665572121 in words is "two hundred twenty-four billion, six hundred sixty-five million, five hundred seventy-two thousand, one hundred twenty-one".

Divisors: 1 43 73 151 1849 3139 5329 6493 11023 22801 134977 229147 279199 473989 804679 980443 1664473 9853321 20381527 34601197 42159049 71572339 121506529 1487851471 3077610577 5224780747 224665572121