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2132234192 = 24114127207
BaseRepresentation
bin111111100010111…
…0100111111010000
312111121011201102202
41333011310333100
513331322443232
6551325102332
7103560456134
oct17705647720
95447151382
102132234192
119a4655120
124b60b79a8
1327c995a4a
1416327b3c4
15c72d3162
hex7f174fd0

2132234192 has 60 divisors (see below), whose sum is σ = 4620010848. Its totient is φ = 945427200.

The previous prime is 2132234183. The next prime is 2132234201. The reversal of 2132234192 is 2914322312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2132234183) and next prime (2132234201).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292253 + ... + 299459.

Almost surely, 22132234192 is an apocalyptic number.

2132234192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132234192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310005424).

2132234192 is an abundant number, since it is smaller than the sum of its proper divisors (2487776656).

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

2132234192 is a wasteful number, since it uses less digits than its factorization.

2132234192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7308 (or 7261 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 2132234192 is about 46176.1214482117. The cubic root of 2132234192 is about 1287.0980562253.

The spelling of 2132234192 in words is "two billion, one hundred thirty-two million, two hundred thirty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 902 1681 1804 3362 3608 6724 7207 7216 13448 14414 18491 26896 28828 36982 57656 73964 79277 115312 147928 158554 295487 295856 317108 590974 634216 1181948 1268432 2363896 3250357 4727792 6500714 12114967 13001428 24229934 26002856 48459868 52005712 96919736 133264637 193839472 266529274 533058548 1066117096 2132234192