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2172593304 = 2332719211941
BaseRepresentation
bin1000000101111111…
…0010010010011000
312121102010011201200
42001133302102120
513422140441204
6555330114200
7104560511160
oct20137622230
95542104650
102172593304
11a15410562
1250771b960
13288156b8b
141687855a0
15cab06539
hex817f2498

2172593304 has 144 divisors (see below), whose sum is σ = 7097847120. Its totient is φ = 588021120.

The previous prime is 2172593281. The next prime is 2172593327. The reversal of 2172593304 is 4033952712.

It is an interprime number because it is at equal distance from previous prime (2172593281) and next prime (2172593327).

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 35 ways as a sum of consecutive naturals, for example, 175974 + ... + 187914.

It is an arithmetic number, because the mean of its divisors is an integer number (49290605).

Almost surely, 22172593304 is an apocalyptic number.

2172593304 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 2172593304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548923560).

2172593304 is an abundant number, since it is smaller than the sum of its proper divisors (4925253816).

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

2172593304 is a wasteful number, since it uses less digits than its factorization.

2172593304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11998 (or 11972 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2172593304 is about 46611.0856342137. The cubic root of 2172593304 is about 1295.1681189785.

The spelling of 2172593304 in words is "two billion, one hundred seventy-two million, five hundred ninety-three thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 361 399 456 504 532 684 722 798 1064 1083 1197 1368 1444 1596 2166 2394 2527 2888 3192 3249 4332 4788 5054 6498 7581 8664 9576 10108 11941 12996 15162 20216 22743 23882 25992 30324 35823 45486 47764 60648 71646 83587 90972 95528 107469 143292 167174 181944 214938 226879 250761 286584 334348 429876 453758 501522 668696 680637 752283 859752 907516 1003044 1361274 1504566 1588153 1815032 2006088 2041911 2722548 3009132 3176306 4083822 4310701 4764459 5445096 6018264 6352612 8167644 8621402 9528918 12705224 12932103 14293377 16335288 17242804 19057836 25864206 28586754 30174907 34485608 38115672 38796309 51728412 57173508 60349814 77592618 90524721 103456824 114347016 120699628 155185236 181049442 241399256 271574163 310370472 362098884 543148326 724197768 1086296652 2172593304