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200102238 = 2357131449
BaseRepresentation
bin10111110110101…
…01000101011110
3111221112020200000
423323111011132
5402211232423
631504515130
74646561310
oct1373250536
9457466600
10200102238
11a2a52856
125701baa6
13325c19bb
141c80b7b0
1512879843
hexbed515e

200102238 has 96 divisors (see below), whose sum is σ = 518918400. Its totient is φ = 56609280.

The previous prime is 200102237. The next prime is 200102251. The reversal of 200102238 is 832201002.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 200102238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200102237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445438 + ... + 445886.

It is an arithmetic number, because the mean of its divisors is an integer number (5405400).

Almost surely, 2200102238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200102238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259459200).

200102238 is an abundant number, since it is smaller than the sum of its proper divisors (318816162).

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

200102238 is a wasteful number, since it uses less digits than its factorization.

200102238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 200102238 is about 14145.7498210593. The cubic root of 200102238 is about 584.9031792428.

The spelling of 200102238 in words is "two hundred million, one hundred two thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 131 162 189 243 262 378 393 449 486 567 786 898 917 1134 1179 1347 1701 1834 2358 2694 2751 3143 3402 3537 4041 5502 6286 7074 8082 8253 9429 10611 12123 16506 18858 21222 24246 24759 28287 31833 36369 49518 56574 58819 63666 72738 74277 84861 109107 117638 148554 169722 176457 218214 222831 254583 352914 411733 445662 509166 529371 763749 823466 1058742 1235199 1527498 1588113 2470398 3176226 3705597 4764339 7411194 9528678 11116791 14293017 22233582 28586034 33350373 66700746 100051119 200102238