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2164151484 = 2232117976857
BaseRepresentation
bin1000000011111110…
…0101010010111100
312120211020021201200
42000333211102330
513413010321414
6554425135500
7104425661355
oct20077452274
95524207650
102164151484
11a10675050
1250492a590
1328648c611
141675c8d2c
15c9eda109
hex80fe54bc

2164151484 has 72 divisors (see below), whose sum is σ = 5976170928. Its totient is φ = 654885120.

The previous prime is 2164151449. The next prime is 2164151531. The reversal of 2164151484 is 4841514612.

2164151484 is a `hidden beast` number, since 2 + 1 + 64 + 1 + 514 + 84 = 666.

2164151484 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312184 + ... + 319040.

It is an arithmetic number, because the mean of its divisors is an integer number (83002374).

Almost surely, 22164151484 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 2164151484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988085464).

2164151484 is an abundant number, since it is smaller than the sum of its proper divisors (3812019444).

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

2164151484 is a wasteful number, since it uses less digits than its factorization.

2164151484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7675 (or 7670 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 2164151484 is about 46520.4415714211. The cubic root of 2164151484 is about 1293.4884415300.

The spelling of 2164151484 in words is "two billion, one hundred sixty-four million, one hundred fifty-one thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 797 1594 2391 3188 4782 6857 7173 8767 9564 13714 14346 17534 20571 26301 27428 28692 35068 41142 52602 61713 75427 78903 82284 105204 123426 150854 157806 226281 246852 301708 315612 452562 678843 905124 1357686 2715372 5465029 10930058 16395087 21860116 32790174 49185261 60115319 65580348 98370522 120230638 180345957 196741044 240461276 360691914 541037871 721383828 1082075742 2164151484