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42200202 = 23112371571
BaseRepresentation
bin1010000011111…
…0110010001010
32221101222210110
42200332302022
541300401302
64104255150
71021460442
oct240766212
987358713
1042200202
1121903700
12121714b6
138987145
145867122
153a88b6c
hex283ec8a

42200202 has 48 divisors (see below), whose sum is σ = 95338656. Its totient is φ = 12434400.

The previous prime is 42200201. The next prime is 42200203. The reversal of 42200202 is 20200224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42200201) and next prime (42200203).

It is not an unprimeable number, because it can be changed into a prime (42200201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26077 + ... + 27647.

It is an arithmetic number, because the mean of its divisors is an integer number (1986222).

Almost surely, 242200202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42200202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47669328).

42200202 is an abundant number, since it is smaller than the sum of its proper divisors (53138454).

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

42200202 is a wasteful number, since it uses less digits than its factorization.

42200202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1624 counting only the distinct ones).

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

The square root of 42200202 is about 6496.1682552101. The cubic root of 42200202 is about 348.1540967700.

Adding to 42200202 its reverse (20200224), we get a palindrome (62400426).

The spelling of 42200202 in words is "forty-two million, two hundred thousand, two hundred two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 222 242 363 407 726 814 1221 1571 2442 3142 4477 4713 8954 9426 13431 17281 26862 34562 51843 58127 103686 116254 174381 190091 348762 380182 570273 639397 1140546 1278794 1918191 3836382 7033367 14066734 21100101 42200202