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209234190 = 2351131113181
BaseRepresentation
bin11000111100010…
…10100100001110
3112120201012100110
430132022210032
5412030443230
632432340450
75120314134
oct1436124416
9476635313
10209234190
11a811a820
125a0a4726
133446b419
141db07754
15135804b0
hexc78a90e

209234190 has 128 divisors (see below), whose sum is σ = 573640704. Its totient is φ = 48384000.

The previous prime is 209234171. The next prime is 209234191. The reversal of 209234190 is 91432902.

It is a super-2 number, since 2×2092341902 = 87557892529912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209234191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1155900 + ... + 1156080.

It is an arithmetic number, because the mean of its divisors is an integer number (4481568).

Almost surely, 2209234190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209234190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286820352).

209234190 is an abundant number, since it is smaller than the sum of its proper divisors (364406514).

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

209234190 is a wasteful number, since it uses less digits than its factorization.

209234190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 209234190 is about 14464.9296576236. The cubic root of 209234190 is about 593.6687890405.

The spelling of 209234190 in words is "two hundred nine million, two hundred thirty-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 113 155 165 181 186 226 310 330 339 341 362 465 543 565 678 682 905 930 1023 1086 1130 1243 1695 1705 1810 1991 2046 2486 2715 3390 3410 3503 3729 3982 5115 5430 5611 5973 6215 7006 7458 9955 10230 10509 11222 11946 12430 16833 17515 18645 19910 20453 21018 28055 29865 33666 35030 37290 38533 40906 52545 56110 59730 61359 61721 77066 84165 102265 105090 115599 122718 123442 168330 185163 192665 204530 224983 231198 306795 308605 370326 385330 449966 577995 613590 617210 634043 674949 925815 1124915 1155990 1268086 1349898 1851630 1902129 2249830 3170215 3374745 3804258 6340430 6749490 6974473 9510645 13948946 19021290 20923419 34872365 41846838 69744730 104617095 209234190