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2173200144 = 2432910914323
BaseRepresentation
bin1000000110001000…
…0110011100010000
312121110021000011020
42001202012130100
513422314401034
6555351115440
7104565616323
oct20142063420
95543230136
102173200144
11a15795485
12507972b80
1328830a15b
141688a27ba
15cabc6249
hex81886710

2173200144 has 80 divisors (see below), whose sum is σ = 5861380800. Its totient is φ = 692955648.

The previous prime is 2173200137. The next prime is 2173200167. The reversal of 2173200144 is 4410023712.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144567 + ... + 158889.

It is an arithmetic number, because the mean of its divisors is an integer number (73267260).

Almost surely, 22173200144 is an apocalyptic number.

2173200144 is a gapful number since it is divisible by the number (24) 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 2173200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930690400).

2173200144 is an abundant number, since it is smaller than the sum of its proper divisors (3688180656).

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

2173200144 is a wasteful number, since it uses less digits than its factorization.

2173200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14472 (or 14466 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2173200144 is about 46617.5947899503. The cubic root of 2173200144 is about 1295.2886947982.

Adding to 2173200144 its reverse (4410023712), we get a palindrome (6583223856).

The spelling of 2173200144 in words is "two billion, one hundred seventy-three million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 109 116 174 218 232 327 348 436 464 654 696 872 1308 1392 1744 2616 3161 5232 6322 9483 12644 14323 18966 25288 28646 37932 42969 50576 57292 75864 85938 114584 151728 171876 229168 343752 415367 687504 830734 1246101 1561207 1661468 2492202 3122414 3322936 4683621 4984404 6244828 6645872 9367242 9968808 12489656 18734484 19937616 24979312 37468968 45275003 74937936 90550006 135825009 181100012 271650018 362200024 543300036 724400048 1086600072 2173200144