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223020945 = 345797811
BaseRepresentation
bin11010100101100…
…00011110010001
3120112122122020000
431102300132101
5424043132240
634044040213
75345434560
oct1522603621
9515578200
10223020945
11104986a34
1262833069
1337287774
1421895bd7
15148a5430
hexd4b0791

223020945 has 80 divisors (see below), whose sum is σ = 462177408. Its totient is φ = 100776960.

The previous prime is 223020937. The next prime is 223020947. The reversal of 223020945 is 549020322.

It is not a de Polignac number, because 223020945 - 23 = 223020937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (223020947) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 274590 + ... + 275400.

Almost surely, 2223020945 is an apocalyptic number.

It is an amenable number.

223020945 is an abundant number, since it is smaller than the sum of its proper divisors (239156463).

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

223020945 is an equidigital number, since it uses as much as digits as its factorization.

223020945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 223020945 is about 14933.8857970724. The cubic root of 223020945 is about 606.4316843780.

The spelling of 223020945 in words is "two hundred twenty-three million, twenty thousand, nine hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 97 105 135 189 291 315 405 485 567 679 811 873 945 1455 2037 2433 2619 2835 3395 4055 4365 5677 6111 7299 7857 10185 12165 13095 17031 18333 21897 28385 30555 36495 39285 51093 54999 65691 78667 85155 91665 109485 153279 236001 255465 274995 328455 393335 459837 550669 708003 766395 1180005 1652007 2124009 2299185 2753345 3540015 4956021 6372027 8260035 10620045 14868063 24780105 31860135 44604189 74340315 223020945