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2172027780 = 22325131754601
BaseRepresentation
bin1000000101110110…
…1000001110000100
312121101001102222100
42001131220032010
513422014342110
6555310032100
7104552634336
oct20135501604
95541042870
102172027780
11a1506468a
125074a8630
13287cb9650
14168679456
15caa43bc0
hex81768384

2172027780 has 144 divisors (see below), whose sum is σ = 7512798384. Its totient is φ = 503193600.

The previous prime is 2172027757. The next prime is 2172027827. The reversal of 2172027780 is 877202712.

It can be written as a sum of positive squares in 8 ways, for example, as 356756544 + 1815271236 = 18888^2 + 42606^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12480 + ... + 67080.

It is an arithmetic number, because the mean of its divisors is an integer number (52172211).

Almost surely, 22172027780 is an apocalyptic number.

2172027780 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 2172027780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756399192).

2172027780 is an abundant number, since it is smaller than the sum of its proper divisors (5340770604).

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

2172027780 is a wasteful number, since it uses less digits than its factorization.

2172027780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54646 (or 54641 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 2172027780 is about 46605.0188284481. The cubic root of 2172027780 is about 1295.0557322109.

The spelling of 2172027780 in words is "two billion, one hundred seventy-two million, twenty-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 6630 7956 9945 13260 19890 39780 54601 109202 163803 218404 273005 327606 491409 546010 655212 709813 819015 928217 982818 1092020 1419626 1638030 1856434 1965636 2129439 2457045 2784651 2839252 3276060 3549065 3712868 4258878 4641085 4914090 5569302 6388317 7098130 8353953 8517756 9282170 9828180 10647195 11138604 12066821 12776634 13923255 14196260 16707906 18564340 21294390 24133642 25553268 27846510 31941585 33415812 36200463 41769765 42588780 48267284 55693020 60334105 63883170 72400926 83539530 108601389 120668210 127766340 144801852 167079060 181002315 217202778 241336420 362004630 434405556 543006945 724009260 1086013890 2172027780