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229369464 = 2332103157197
BaseRepresentation
bin11011010101111…
…10011001111000
3120222121011202100
431222332121320
5432204310324
634432103400
75453415432
oct1552763170
9528534670
10229369464
11108522745
1264994b60
133869b29c
1422669652
151520b4c9
hexdabe678

229369464 has 96 divisors (see below), whose sum is σ = 634439520. Its totient is φ = 74850048.

The previous prime is 229369451. The next prime is 229369477. The reversal of 229369464 is 464963922.

229369464 is a `hidden beast` number, since 229 + 369 + 4 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (229369451) and next prime (229369477).

It is a super-2 number, since 2×2293694642 = 105220702031294592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164214 + ... + 1164410.

It is an arithmetic number, because the mean of its divisors is an integer number (6608745).

Almost surely, 2229369464 is an apocalyptic number.

229369464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229369464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317219760).

229369464 is an abundant number, since it is smaller than the sum of its proper divisors (405070056).

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

229369464 is a wasteful number, since it uses less digits than its factorization.

229369464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 462 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 229369464 is about 15144.9484647522. The cubic root of 229369464 is about 612.1321642029.

It can be divided in two parts, 22936 and 9464, that added together give a square (32400 = 1802).

The spelling of 229369464 in words is "two hundred twenty-nine million, three hundred sixty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 157 197 206 309 314 394 412 471 591 618 628 788 824 927 942 1182 1236 1256 1413 1576 1773 1854 1884 2364 2472 2826 3546 3708 3768 4728 5652 7092 7416 11304 14184 16171 20291 30929 32342 40582 48513 60873 61858 64684 81164 92787 97026 121746 123716 129368 145539 162328 182619 185574 194052 243492 247432 278361 291078 365238 371148 388104 486984 556722 582156 730476 742296 1113444 1164312 1460952 2226888 3185687 6371374 9557061 12742748 19114122 25485496 28671183 38228244 57342366 76456488 114684732 229369464