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82233020 = 22559227307
BaseRepresentation
bin1001110011011…
…00011010111100
312201201212111102
410321230122330
5132022424040
612054312232
72015653262
oct471543274
9181655442
1082233020
1142466981
1223658678
13140628bc
14acc8432
157345515
hex4e6c6bc

82233020 has 48 divisors (see below), whose sum is σ = 176964480. Its totient is φ = 32088384.

The previous prime is 82233013. The next prime is 82233043. The reversal of 82233020 is 2033228.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 82232983 and 82233001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267707 + ... + 268013.

It is an arithmetic number, because the mean of its divisors is an integer number (3686760).

Almost surely, 282233020 is an apocalyptic number.

It is an amenable number.

82233020 is an abundant number, since it is smaller than the sum of its proper divisors (94731460).

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

82233020 is a wasteful number, since it uses less digits than its factorization.

82233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 82233020 is about 9068.2423875854. The cubic root of 82233020 is about 434.8592842076.

Adding to 82233020 its reverse (2033228), we get a palindrome (84266248).

The spelling of 82233020 in words is "eighty-two million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 59 118 227 236 295 307 454 590 614 908 1135 1180 1228 1535 2270 3070 4540 6140 13393 18113 26786 36226 53572 66965 69689 72452 90565 133930 139378 181130 267860 278756 348445 362260 696890 1393780 4111651 8223302 16446604 20558255 41116510 82233020