Search a number
-
+
2169996642 = 234111217731
BaseRepresentation
bin1000000101010111…
…1000010101100010
312121020020020210000
42001111320111202
513421004343032
6555154320430
7104526444552
oct20125702542
95536206700
102169996642
11a139a7660
12506889116
13287757ca8
141682ab162
15ca791e7c
hex81578562

2169996642 has 40 divisors (see below), whose sum is σ = 5304440592. Its totient is φ = 657574200.

The previous prime is 2169996641. The next prime is 2169996691. The reversal of 2169996642 is 2466999612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2169996641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 607084 + ... + 610647.

Almost surely, 22169996642 is an apocalyptic number.

2169996642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2169996642 is an abundant number, since it is smaller than the sum of its proper divisors (3134443950).

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

2169996642 is a wasteful number, since it uses less digits than its factorization.

2169996642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217756 (or 1217747 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 2169996642 is about 46583.2227524030. Note that the first 3 decimals coincide. The cubic root of 2169996642 is about 1294.6519225700.

It can be divided in two parts, 21699 and 96642, that added together give a triangular number (118341 = T486).

The spelling of 2169996642 in words is "two billion, one hundred sixty-nine million, nine hundred ninety-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 1217731 2435462 3653193 7306386 10959579 13395041 21919158 26790082 32878737 40185123 65757474 80370246 98636211 120555369 197272422 241110738 361666107 723332214 1084998321 2169996642