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206428194 = 232731411289
BaseRepresentation
bin11000100110111…
…01100000100010
3112101102122020200
430103131200202
5410321200234
632252250030
75054416320
oct1423354042
9471378220
10206428194
11a6583615
1259170916
13339c817b
141d5b6d10
15131c8d99
hexc4dd822

206428194 has 96 divisors (see below), whose sum is σ = 540933120. Its totient is φ = 55641600.

The previous prime is 206428129. The next prime is 206428237. The reversal of 206428194 is 491824602.

206428194 is a `hidden beast` number, since 2 + 0 + 642 + 8 + 1 + 9 + 4 = 666.

206428194 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2064281942 = 85225198556203272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159502 + ... + 160790.

It is an arithmetic number, because the mean of its divisors is an integer number (5634720).

Almost surely, 2206428194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206428194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270466560).

206428194 is an abundant number, since it is smaller than the sum of its proper divisors (334504926).

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

206428194 is a wasteful number, since it uses less digits than its factorization.

206428194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 206428194 is about 14367.6091956874. The cubic root of 206428194 is about 591.0029803933.

The spelling of 206428194 in words is "two hundred six million, four hundred twenty-eight thousand, one hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 41 42 62 63 82 93 123 126 186 217 246 279 287 369 434 558 574 651 738 861 1271 1289 1302 1722 1953 2542 2578 2583 3813 3867 3906 5166 7626 7734 8897 9023 11439 11601 17794 18046 22878 23202 26691 27069 39959 52849 53382 54138 79918 80073 81207 105698 119877 158547 160146 162414 239754 279713 317094 359631 369943 475641 559426 719262 739886 839139 951282 1109829 1638319 1678278 2219658 2517417 3276638 3329487 4914957 5034834 6658974 9829914 11468233 14744871 22936466 29489742 34404699 68809398 103214097 206428194