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42200220 = 22352979307
BaseRepresentation
bin1010000011111…
…0110010011100
32221101222211010
42200332302130
541300401340
64104255220
71021460466
oct240766234
987358733
1042200220
1121903717
1212171510
13898715a
145867136
153a88b80
hex283ec9c

42200220 has 96 divisors (see below), whose sum is σ = 124185600. Its totient is φ = 10692864.

The previous prime is 42200203. The next prime is 42200237. The reversal of 42200220 is 2200224.

It is a happy number.

42200220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42200203) and next prime (42200237).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 42200196 and 42200205.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 137307 + ... + 137613.

It is an arithmetic number, because the mean of its divisors is an integer number (1293600).

Almost surely, 242200220 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 42200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62092800).

42200220 is an abundant number, since it is smaller than the sum of its proper divisors (81985380).

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

42200220 is a wasteful number, since it uses less digits than its factorization.

42200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 42200220 is about 6496.1696406421. The cubic root of 42200220 is about 348.1541462704.

Adding to 42200220 its reverse (2200224), we get a palindrome (44400444).

The spelling of 42200220 in words is "forty-two million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 79 87 116 145 158 174 237 290 307 316 348 395 435 474 580 614 790 870 921 948 1185 1228 1535 1580 1740 1842 2291 2370 3070 3684 4582 4605 4740 6140 6873 8903 9164 9210 11455 13746 17806 18420 22910 24253 26709 27492 34365 35612 44515 45820 48506 53418 68730 72759 89030 97012 106836 121265 133545 137460 145518 178060 242530 267090 291036 363795 485060 534180 703337 727590 1406674 1455180 2110011 2813348 3516685 4220022 7033370 8440044 10550055 14066740 21100110 42200220