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2132014206 = 237219596469
BaseRepresentation
bin111111100010011…
…1111010001111110
312111120202112200010
41333010333101332
513331243423311
6551320244050
7103555551600
oct17704772176
95446675603
102132014206
119a4514913
124b6010626
1327c91988a
14163221170
15c728cda6
hex7f13f47e

2132014206 has 96 divisors (see below), whose sum is σ = 5310576000. Its totient is φ = 567217728.

The previous prime is 2132014189. The next prime is 2132014219. The reversal of 2132014206 is 6024102312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326340 + ... + 332808.

It is an arithmetic number, because the mean of its divisors is an integer number (55318500).

Almost surely, 22132014206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132014206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655288000).

2132014206 is an abundant number, since it is smaller than the sum of its proper divisors (3178561794).

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

2132014206 is a wasteful number, since it uses less digits than its factorization.

2132014206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6566 (or 6559 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2132014206 is about 46173.7393547458. The cubic root of 2132014206 is about 1287.0537907170.

Adding to 2132014206 its reverse (6024102312), we get a palindrome (8156116518).

The spelling of 2132014206 in words is "two billion, one hundred thirty-two million, fourteen thousand, two hundred six".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 59 98 114 118 133 147 177 266 294 354 399 413 798 826 931 1121 1239 1862 2242 2478 2793 2891 3363 5586 5782 6469 6726 7847 8673 12938 15694 17346 19407 23541 38814 45283 47082 54929 90566 109858 122911 135849 164787 245822 271698 316981 329574 368733 381671 633962 737466 763342 860377 950943 1145013 1720754 1901886 2290026 2581131 2671697 5162262 5343394 6022639 7251749 8015091 12045278 14503498 16030182 18067917 18701879 21755247 36135834 37403758 43510494 50762243 56105637 101524486 112211274 152286729 304573458 355335701 710671402 1066007103 2132014206