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42264222 = 237111331227
BaseRepresentation
bin1010000100111…
…0011010011110
32221112020121120
42201032122132
541304423342
64105511410
71022145210
oct241163236
987466546
1042264222
1121947810
12121a2566
1389aa320
1458825b0
153a9caec
hex284e69e

42264222 has 128 divisors (see below), whose sum is σ = 117669888. Its totient is φ = 9763200.

The previous prime is 42264221. The next prime is 42264239. The reversal of 42264222 is 22246224.

42264222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×422642222 = 3572528922530568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42264192 and 42264201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42264221) 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 63 ways as a sum of consecutive naturals, for example, 186073 + ... + 186299.

It is an arithmetic number, because the mean of its divisors is an integer number (919296).

Almost surely, 242264222 is an apocalyptic number.

42264222 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 42264222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58834944).

42264222 is an abundant number, since it is smaller than the sum of its proper divisors (75405666).

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

42264222 is a wasteful number, since it uses less digits than its factorization.

42264222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294.

The product of its digits is 3072, while the sum is 24.

The square root of 42264222 is about 6501.0939079512. The cubic root of 42264222 is about 348.3300640450.

It can be divided in two parts, 42264 and 222, that added together give a triangular number (42486 = T291).

The spelling of 42264222 in words is "forty-two million, two hundred sixty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 31 33 39 42 62 66 77 78 91 93 143 154 182 186 217 227 231 273 286 341 403 429 434 454 462 546 651 681 682 806 858 1001 1023 1209 1302 1362 1589 2002 2046 2387 2418 2497 2821 2951 3003 3178 4433 4767 4774 4994 5642 5902 6006 7037 7161 7491 8463 8853 8866 9534 13299 14074 14322 14982 16926 17479 17706 20657 21111 26598 31031 32461 34958 41314 42222 49259 52437 61971 62062 64922 77407 91481 93093 97383 98518 104874 123942 147777 154814 182962 186186 194766 227227 232221 274443 295554 454454 464442 541849 548886 640367 681681 1006291 1083698 1280734 1363362 1625547 1921101 2012582 3018873 3251094 3842202 6037746 7044037 14088074 21132111 42264222