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202143942 = 232711132863
BaseRepresentation
bin11000000110001…
…11100011000110
3112002100222100200
430003013203012
5403222101232
632020351330
75003123640
oct1403074306
9462328320
10202143942
11a4117810
1257845546
1332b58100
141cbbd890
1512b2e77c
hexc0c78c6

202143942 has 144 divisors (see below), whose sum is σ = 591971328. Its totient is φ = 48409920.

The previous prime is 202143917. The next prime is 202143943. The reversal of 202143942 is 249341202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202143943) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 233803 + ... + 234665.

It is an arithmetic number, because the mean of its divisors is an integer number (4110912).

Almost surely, 2202143942 is an apocalyptic number.

202143942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 202143942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295985664).

202143942 is an abundant number, since it is smaller than the sum of its proper divisors (389827386).

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

202143942 is a wasteful number, since it uses less digits than its factorization.

202143942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 202143942 is about 14217.7333636554. The cubic root of 202143942 is about 586.8857664906.

The spelling of 202143942 in words is "two hundred two million, one hundred forty-three thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 169 182 198 231 234 273 286 338 429 462 507 546 693 819 858 863 1001 1014 1183 1287 1386 1521 1638 1726 1859 2002 2366 2574 2589 3003 3042 3549 3718 5178 5577 6006 6041 7098 7767 9009 9493 10647 11154 11219 12082 13013 15534 16731 18018 18123 18986 21294 22438 26026 28479 33462 33657 36246 39039 54369 56958 66451 67314 78078 78533 85437 100971 108738 117117 123409 132902 145847 157066 170874 199353 201942 234234 235599 246818 291694 370227 398706 437541 471198 598059 706797 740454 863863 875082 1020929 1110681 1196118 1312623 1413594 1604317 1727726 2041858 2221362 2591589 2625246 3062787 3208634 4812951 5183178 6125574 7774767 9188361 9625902 11230219 14438853 15549534 18376722 22460438 28877706 33690657 67381314 101071971 202143942