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2132240192 = 26197124697
BaseRepresentation
bin111111100010111…
…0110011101000000
312111121012000122222
41333011312131000
513331323141232
6551325150212
7103560512465
oct17705663500
95447160588
102132240192
119a4659685
124b60bb368
1327c9986b4
1416327d66c
15c72d4d12
hex7f176740

2132240192 has 56 divisors (see below), whose sum is σ = 4516770240. Its totient is φ = 995742720.

The previous prime is 2132240179. The next prime is 2132240221. The reversal of 2132240192 is 2910422312.

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 7 ways as a sum of consecutive naturals, for example, 73988 + ... + 98684.

Almost surely, 22132240192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132240192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258385120).

2132240192 is an abundant number, since it is smaller than the sum of its proper divisors (2384530048).

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

2132240192 is a wasteful number, since it uses less digits than its factorization.

2132240192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24799 (or 24789 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2132240192 is about 46176.1864168101. The cubic root of 2132240192 is about 1287.0992635006.

The spelling of 2132240192 in words is "two billion, one hundred thirty-two million, two hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 19 32 38 64 71 76 142 152 284 304 568 608 1136 1216 1349 2272 2698 4544 5396 10792 21584 24697 43168 49394 86336 98788 197576 395152 469243 790304 938486 1580608 1753487 1876972 3506974 3753944 7013948 7507888 14027896 15015776 28055792 30031552 33316253 56111584 66632506 112223168 133265012 266530024 533060048 1066120096 2132240192