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2132424450 = 23252131033539
BaseRepresentation
bin111111100011010…
…0011011100000010
312111121112101102100
41333012203130002
513331400040300
6551333131230
7103562210622
oct17706433402
95447471370
102132424450
119a4775062
124b6189b16
1327ca31520
141632ca882
15c731e700
hex7f1a3702

2132424450 has 144 divisors (see below), whose sum is σ = 6231476160. Its totient is φ = 519661440.

The previous prime is 2132424449. The next prime is 2132424467. The reversal of 2132424450 is 544242312.

2132424450 is a `hidden beast` number, since 213 + 2 + 4 + 2 + 445 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 600781 + ... + 604319.

It is an arithmetic number, because the mean of its divisors is an integer number (43274140).

Almost surely, 22132424450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132424450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115738080).

2132424450 is an abundant number, since it is smaller than the sum of its proper divisors (4099051710).

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

2132424450 is a wasteful number, since it uses less digits than its factorization.

2132424450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2132424450 is about 46178.1815363056. The cubic root of 2132424450 is about 1287.1363374203.

Adding to 2132424450 its reverse (544242312), we get a palindrome (2676666762).

The spelling of 2132424450 in words is "two billion, one hundred thirty-two million, four hundred twenty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 103 117 130 150 195 206 225 234 309 325 390 450 515 585 618 650 927 975 1030 1170 1339 1545 1854 1950 2575 2678 2925 3090 3539 4017 4635 5150 5850 6695 7078 7725 8034 9270 10617 12051 13390 15450 17695 20085 21234 23175 24102 31851 33475 35390 40170 46007 46350 53085 60255 63702 66950 88475 92014 100425 106170 120510 138021 159255 176950 200850 230035 265425 276042 301275 318510 364517 414063 460070 530850 602550 690105 729034 796275 828126 1093551 1150175 1380210 1592550 1822585 2070315 2187102 2300350 3280653 3450525 3645170 4140630 4738721 5467755 6561306 6901050 9112925 9477442 10351575 10935510 14216163 16403265 18225850 20703150 23693605 27338775 28432326 32806530 42648489 47387210 54677550 71080815 82016325 85296978 118468025 142161630 164032650 213242445 236936050 355404075 426484890 710808150 1066212225 2132424450