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82213608 = 23319296217
BaseRepresentation
bin1001110011001…
…11101011101000
312201200212212110
410321213223220
5132021313413
612054042320
72015542551
oct471475350
9181625773
1082213608
1142453334
12236493a0
1314056b09
14acc1328
15733e8c3
hex4e67ae8

82213608 has 64 divisors (see below), whose sum is σ = 223848000. Its totient is φ = 25062912.

The previous prime is 82213603. The next prime is 82213613. The reversal of 82213608 is 80631228.

It is an interprime number because it is at equal distance from previous prime (82213603) and next prime (82213613).

It is not an unprimeable number, because it can be changed into a prime (82213603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10116 + ... + 16332.

It is an arithmetic number, because the mean of its divisors is an integer number (3497625).

Almost surely, 282213608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82213608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111924000).

82213608 is an abundant number, since it is smaller than the sum of its proper divisors (141634392).

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

82213608 is a wasteful number, since it uses less digits than its factorization.

82213608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6274 (or 6270 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 82213608 is about 9067.1719957217. The cubic root of 82213608 is about 434.8250637580.

The spelling of 82213608 in words is "eighty-two million, two hundred thirteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 174 228 232 348 456 551 696 1102 1653 2204 3306 4408 6217 6612 12434 13224 18651 24868 37302 49736 74604 118123 149208 180293 236246 354369 360586 472492 540879 708738 721172 944984 1081758 1417476 1442344 2163516 2834952 3425567 4327032 6851134 10276701 13702268 20553402 27404536 41106804 82213608