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242223020 = 225131949033
BaseRepresentation
bin11100111000000…
…00011110101100
3121212210012111222
432130000132230
5444002114040
640011402512
76000601364
oct1634003654
9555705458
10242223020
11114801816
1269153438
133b24b940
14242539a4
15163e9bb5
hexe7007ac

242223020 has 48 divisors (see below), whose sum is σ = 576639840. Its totient is φ = 84727296.

The previous prime is 242223013. The next prime is 242223029. The reversal of 242223020 is 20322242.

It is a self number, because there is not a number n which added to its sum of digits gives 242223020.

It is not an unprimeable number, because it can be changed into a prime (242223029) 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 15 ways as a sum of consecutive naturals, for example, 19577 + ... + 29456.

It is an arithmetic number, because the mean of its divisors is an integer number (12013330).

Almost surely, 2242223020 is an apocalyptic number.

242223020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242223020 is an abundant number, since it is smaller than the sum of its proper divisors (334416820).

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

242223020 is a wasteful number, since it uses less digits than its factorization.

242223020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49074 (or 49072 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 242223020 is about 15563.5156696680. The cubic root of 242223020 is about 623.3593406811.

Adding to 242223020 its reverse (20322242), we get a palindrome (262545262).

The spelling of 242223020 in words is "two hundred forty-two million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 4940 49033 98066 196132 245165 490330 637429 931627 980660 1274858 1863254 2549716 3187145 3726508 4658135 6374290 9316270 12111151 12748580 18632540 24222302 48444604 60555755 121111510 242223020