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209030011204 = 22721741132
BaseRepresentation
bin1100001010101100101…
…0001101100101000100
3201222112122211210010211
43002223022031211010
511411043140324304
6240005502325204
721046646531200
oct3025312154504
9658478753124
10209030011204
1180715aa0283
1234617889804
1316933079581
14a18d4a9b00
1556860cd204
hex30ab28d944

209030011204 has 135 divisors (see below), whose sum is σ = 456156870897. Its totient is φ = 83568479232.

The previous prime is 209030011159. The next prime is 209030011219. The reversal of 209030011204 is 402110030902.

The square root of 209030011204 is 457198.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 117313100100 + 91716911104 = 342510^2 + 302848^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1849823052 + ... + 1849823164.

Almost surely, 2209030011204 is an apocalyptic number.

209030011204 is the 457198-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209030011204

209030011204 is an abundant number, since it is smaller than the sum of its proper divisors (247126859693).

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

209030011204 is an frugal number, since it uses more digits than its factorization.

209030011204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 209030011204 in words is "two hundred nine billion, thirty million, eleven thousand, two hundred four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 113 119 196 226 238 289 452 476 578 791 833 1156 1582 1666 1921 2023 3164 3332 3842 4046 4913 5537 7684 8092 9826 11074 12769 13447 14161 19652 22148 25538 26894 28322 32657 34391 51076 53788 56644 65314 68782 83521 89383 94129 130628 137564 167042 178766 188258 217073 228599 240737 334084 357532 376516 434146 457198 481474 555169 584647 625681 868292 914396 962948 1110338 1169294 1251362 1519511 1600193 2220676 2338588 2502724 3039022 3200386 3690241 3886183 4092529 6078044 6400772 7380482 7772366 8185058 9437873 10636577 14760964 15544732 16370116 18875746 21273154 25831687 27203281 37751492 42546308 51663374 54406562 62734097 66065111 103326748 108813124 125468194 132130222 180821809 250936388 264260444 361643618 439138679 462455777 723287236 878277358 924911554 1066479649 1756554716 1849823108 2132959298 3073970753 4265918596 6147941506 7465357543 12295883012 14930715086 29861430172 52257502801 104515005602 209030011204