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42203322 = 2337311359
BaseRepresentation
bin1010000011111…
…1100010111010
32221102011002000
42200333202322
541301001242
64104321430
71021502520
oct240774272
987364060
1042203322
1121905a87
1212173276
1389886a5
145868310
153a89a4c
hex283f8ba

42203322 has 64 divisors (see below), whose sum is σ = 107827200. Its totient is φ = 11985840.

The previous prime is 42203303. The next prime is 42203341. The reversal of 42203322 is 22330224.

It is an interprime number because it is at equal distance from previous prime (42203303) and next prime (42203341).

It is a super-2 number, since 2×422033222 = 3562240775671368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42203295 and 42203304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117379 + ... + 117737.

It is an arithmetic number, because the mean of its divisors is an integer number (1684800).

Almost surely, 242203322 is an apocalyptic number.

42203322 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 42203322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53913600).

42203322 is an abundant number, since it is smaller than the sum of its proper divisors (65623878).

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

42203322 is a wasteful number, since it uses less digits than its factorization.

42203322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 42203322 is about 6496.4083923350. The cubic root of 42203322 is about 348.1626766185.

Adding to 42203322 its reverse (22330224), we get a palindrome (64533546).

The spelling of 42203322 in words is "forty-two million, two hundred three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 311 359 378 622 718 933 1077 1866 2154 2177 2513 2799 3231 4354 5026 5598 6462 6531 7539 8397 9693 13062 15078 16794 19386 19593 22617 39186 45234 58779 67851 111649 117558 135702 223298 334947 669894 781543 1004841 1563086 2009682 2344629 3014523 4689258 6029046 7033887 14067774 21101661 42203322