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2164063000 = 2353111131741
BaseRepresentation
bin1000000011111100…
…1111101100011000
312120211001210100111
42000333033230120
513413000004000
6554423214104
7104425142401
oct20077175430
95524053314
102164063000
11a10614620
125048a7334
1328645b268
141675a49a8
15c9ebdcba
hex80fcfb18

2164063000 has 128 divisors (see below), whose sum is σ = 5576351040. Its totient is φ = 779520000.

The previous prime is 2164062941. The next prime is 2164063003. The reversal of 2164063000 is 3604612.

2164063000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164063003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1242130 + ... + 1243870.

Almost surely, 22164063000 is an apocalyptic number.

2164063000 is a gapful number since it is divisible by the number (20) 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 2164063000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788175520).

2164063000 is an abundant number, since it is smaller than the sum of its proper divisors (3412288040).

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

2164063000 is a wasteful number, since it uses less digits than its factorization.

2164063000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2164063000 is about 46519.4905389128. The cubic root of 2164063000 is about 1293.4708126668.

Adding to 2164063000 its reverse (3604612), we get a palindrome (2167667612).

The spelling of 2164063000 in words is "two billion, one hundred sixty-four million, sixty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 113 125 200 220 226 250 275 440 452 500 550 565 904 1000 1100 1130 1243 1375 1741 2200 2260 2486 2750 2825 3482 4520 4972 5500 5650 6215 6964 8705 9944 11000 11300 12430 13928 14125 17410 19151 22600 24860 28250 31075 34820 38302 43525 49720 56500 62150 69640 76604 87050 95755 113000 124300 153208 155375 174100 191510 196733 217625 248600 310750 348200 383020 393466 435250 478775 621500 766040 786932 870500 957550 983665 1243000 1573864 1741000 1915100 1967330 2164063 2393875 3830200 3934660 4328126 4787750 4918325 7869320 8656252 9575500 9836650 10820315 17312504 19151000 19673300 21640630 24591625 39346600 43281260 49183250 54101575 86562520 98366500 108203150 196733000 216406300 270507875 432812600 541015750 1082031500 2164063000