Search a number
-
+
2134147230 = 2335232811223
BaseRepresentation
bin111111100110100…
…1000000010011110
312111201202220122000
41333031020002132
513332320202410
6551434103130
7103612644405
oct17715100236
95451686560
102134147230
119a5741446
124b687aaa6
132801b5717
1416361863c
15c755edc0
hex7f34809e

2134147230 has 128 divisors (see below), whose sum is σ = 5964503040. Its totient is φ = 541981440.

The previous prime is 2134147219. The next prime is 2134147259. The reversal of 2134147230 is 327414312.

It is a happy number.

2134147230 is a `hidden beast` number, since 2 + 13 + 414 + 7 + 230 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2134147194 and 2134147203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1744399 + ... + 1745621.

It is an arithmetic number, because the mean of its divisors is an integer number (46597680).

Almost surely, 22134147230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134147230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982251520).

2134147230 is an abundant number, since it is smaller than the sum of its proper divisors (3830355810).

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

2134147230 is a wasteful number, since it uses less digits than its factorization.

2134147230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2134147230 is about 46196.8313848472. The cubic root of 2134147230 is about 1287.4828687826.

The spelling of 2134147230 in words is "two billion, one hundred thirty-four million, one hundred forty-seven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 281 345 414 562 621 690 843 1035 1223 1242 1405 1686 2070 2446 2529 2810 3105 3669 4215 5058 6115 6210 6463 7338 7587 8430 11007 12230 12645 12926 15174 18345 19389 22014 25290 28129 32315 33021 36690 37935 38778 55035 56258 58167 64630 66042 75870 84387 96945 110070 116334 140645 165105 168774 174501 193890 253161 281290 290835 330210 343663 349002 421935 506322 581670 687326 759483 843870 872505 1030989 1265805 1518966 1718315 1745010 2061978 2531610 3092967 3436630 3797415 5154945 6185934 7594830 7904249 9278901 10309890 15464835 15808498 18557802 23712747 30929670 39521245 46394505 47425494 71138241 79042490 92789010 118563735 142276482 213414723 237127470 355691205 426829446 711382410 1067073615 2134147230