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219430134 = 2347311359
BaseRepresentation
bin11010001010000…
…11110011110110
3120021220012120000
431011003303312
5422133231014
633435052130
75303061000
oct1505036366
9507805500
10219430134
11102954120
12615a1046
13365cb221
14211dd370
15143e6509
hexd143cf6

219430134 has 160 divisors (see below), whose sum is σ = 627264000. Its totient is φ = 56836080.

The previous prime is 219430129. The next prime is 219430139. The reversal of 219430134 is 431034912.

219430134 is a `hidden beast` number, since 219 + 430 + 13 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (219430129) and next prime (219430139).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 219430098 and 219430107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219430139) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 611047 + ... + 611405.

It is an arithmetic number, because the mean of its divisors is an integer number (3920400).

Almost surely, 2219430134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219430134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313632000).

219430134 is an abundant number, since it is smaller than the sum of its proper divisors (407833866).

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

219430134 is a wasteful number, since it uses less digits than its factorization.

219430134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 219430134 is about 14813.1743390807. The cubic root of 219430134 is about 603.1593846147.

The spelling of 219430134 in words is "two hundred nineteen million, four hundred thirty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 81 98 99 126 147 154 162 189 198 231 294 297 343 359 378 441 462 539 567 594 686 693 718 882 891 1029 1077 1078 1134 1323 1386 1617 1782 2058 2079 2154 2513 2646 3087 3231 3234 3773 3949 3969 4158 4851 5026 6174 6237 6462 7539 7546 7898 7938 9261 9693 9702 11319 11847 12474 14553 15078 17591 18522 19386 22617 22638 23694 27643 27783 29079 29106 33957 35182 35541 43659 45234 52773 55286 55566 58158 67851 67914 71082 82929 87318 101871 105546 106623 123137 135702 158319 165858 193501 203553 203742 213246 246274 248787 305613 316638 319869 369411 387002 407106 474957 497574 580503 611226 639738 738822 746361 949914 1108233 1161006 1354507 1424871 1492722 1741509 2216466 2239083 2709014 2849742 3324699 3483018 4063521 4478166 5224527 6649398 8127042 9974097 10449054 12190563 15673581 19948194 24381126 31347162 36571689 73143378 109715067 219430134