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202423133214 = 233103353103099
BaseRepresentation
bin1011110010000101011…
…0111110010000011110
3201100111012211121101000
42330201112332100132
511304030310230324
6232554130131130
720424143146221
oct2744126762036
9640435747330
10202423133214
1178935644035
1233293120aa6
131611c347403
149b23c435b8
1553eb0699c9
hex2f215be41e

202423133214 has 64 divisors (see below), whose sum is σ = 455487552000. Its totient is φ = 66629350656.

The previous prime is 202423133207. The next prime is 202423133267. The reversal of 202423133214 is 412331324202.

202423133214 is a `hidden beast` number, since 2 + 0 + 24 + 2 + 313 + 321 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1911837 + ... + 2014935.

It is an arithmetic number, because the mean of its divisors is an integer number (7116993000).

Almost surely, 2202423133214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202423133214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227743776000).

202423133214 is an abundant number, since it is smaller than the sum of its proper divisors (253064418786).

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

202423133214 is a wasteful number, since it uses less digits than its factorization.

202423133214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103566 (or 103560 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 202423133214 its reverse (412331324202), we get a palindrome (614754457416).

The spelling of 202423133214 in words is "two hundred two billion, four hundred twenty-three million, one hundred thirty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 353 618 706 927 1059 1854 2118 2781 3177 5562 6354 9531 19062 36359 72718 103099 109077 206198 218154 309297 327231 618594 654462 927891 981693 1855782 1963386 2783673 5567346 10619197 21238394 31857591 36393947 63715182 72787894 95572773 109181841 191145546 218363682 286718319 327545523 573436638 655091046 982636569 1965273138 3748576541 7497153082 11245729623 22491459246 33737188869 67474377738 101211566607 202423133214