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2181906432 = 2143214797
BaseRepresentation
bin1000001000001101…
…0100000000000000
312122001122022221100
42002003110000000
513432032001212
61000301454400
7105032620146
oct20203240000
95561568840
102181906432
11a1a6a1662
1250a871400
1328a067bc4
14169acb596
15cb845bdc
hex820d4000

2181906432 has 90 divisors (see below), whose sum is σ = 6303518858. Its totient is φ = 727252992.

The previous prime is 2181906413. The next prime is 2181906481. The reversal of 2181906432 is 2346091812.

2181906432 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 9 + 0 + 643 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1751924736 + 429981696 = 41856^2 + 20736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140058 + ... + 154854.

Almost surely, 22181906432 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 2181906432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151759429).

2181906432 is an abundant number, since it is smaller than the sum of its proper divisors (4121612426).

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

2181906432 is an equidigital number, since it uses as much as digits as its factorization.

2181906432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14831 (or 14802 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2181906432 is about 46710.8813018980. The cubic root of 2181906432 is about 1297.0161212605.

The spelling of 2181906432 in words is "two billion, one hundred eighty-one million, nine hundred six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 14797 16384 18432 24576 29594 36864 44391 49152 59188 73728 88782 118376 133173 147456 177564 236752 266346 355128 473504 532692 710256 947008 1065384 1420512 1894016 2130768 2841024 3788032 4261536 5682048 7576064 8523072 11364096 15152128 17046144 22728192 30304256 34092288 45456384 60608512 68184576 90912768 121217024 136369152 181825536 242434048 272738304 363651072 545476608 727302144 1090953216 2181906432