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42810222 = 23721323487
BaseRepresentation
bin1010001101001…
…1101101101110
32222112222120210
42203103231232
541424411342
64125323250
71026611100
oct243235556
988488523
1042810222
112218aa54
1212406526
138b3b9c0
145985570
153b5979c
hex28d3b6e

42810222 has 96 divisors (see below), whose sum is σ = 112154112. Its totient is φ = 10777536.

The previous prime is 42810181. The next prime is 42810263. The reversal of 42810222 is 22201824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42810181) and next prime (42810263).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87663 + ... + 88149.

It is an arithmetic number, because the mean of its divisors is an integer number (1168272).

Almost surely, 242810222 is an apocalyptic number.

42810222 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42810222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56077056).

42810222 is an abundant number, since it is smaller than the sum of its proper divisors (69343890).

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

42810222 is a wasteful number, since it uses less digits than its factorization.

42810222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 42810222 is about 6542.9520860236. The cubic root of 42810222 is about 349.8236444875.

The spelling of 42810222 in words is "forty-two million, eight hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 49 69 78 91 98 138 147 161 182 273 294 299 322 483 487 546 598 637 897 966 974 1127 1274 1461 1794 1911 2093 2254 2922 3381 3409 3822 4186 6279 6331 6762 6818 10227 11201 12558 12662 14651 18993 20454 22402 23863 29302 33603 37986 43953 44317 47726 67206 71589 78407 87906 88634 132951 143178 145613 156814 235221 265902 291226 310219 436839 470442 548849 620438 873678 930657 1019291 1097698 1646547 1861314 2038582 3057873 3293094 6115746 7135037 14270074 21405111 42810222