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2272942615560 = 2335241431182353
BaseRepresentation
bin100001000100110101111…
…011111110110000001000
322001021212021112100000120
4201010311323332300020
5244214441302144220
64500101520303240
7323133431312601
oct41046573766010
98037767470016
102272942615560
117a6a4993a741
12308617a71b20
1313645083cb16
147c0222d2da8
153e1d006da40
hex21135efec08

2272942615560 has 128 divisors (see below), whose sum is σ = 6863045967360. Its totient is φ = 602199244800.

The previous prime is 2272942615513. The next prime is 2272942615613. The reversal of 2272942615560 is 655162492722.

It is a super-2 number, since 2×22729426155602 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12373344 + ... + 12555696.

It is an arithmetic number, because the mean of its divisors is an integer number (53617546620).

Almost surely, 22272942615560 is an apocalyptic number.

2272942615560 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 2272942615560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431522983680).

2272942615560 is an abundant number, since it is smaller than the sum of its proper divisors (4590103351800).

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

2272942615560 is a wasteful number, since it uses less digits than its factorization.

2272942615560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183039 (or 183035 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 2272942615560 in words is "two trillion, two hundred seventy-two billion, nine hundred forty-two million, six hundred fifteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 431 482 723 862 964 1205 1293 1446 1724 1928 2155 2410 2586 2892 3448 3615 4310 4820 5172 5784 6465 7230 8620 9640 10344 12930 14460 17240 25860 28920 51720 103871 182353 207742 311613 364706 415484 519355 547059 623226 729412 830968 911765 1038710 1094118 1246452 1458824 1558065 1823530 2077420 2188236 2492904 2735295 3116130 3647060 4154840 4376472 5470590 6232260 7294120 10941180 12464520 21882360 43947073 78594143 87894146 131841219 157188286 175788292 219735365 235782429 263682438 314376572 351576584 392970715 439470730 471564858 527364876 628753144 659206095 785941430 878941460 943129716 1054729752 1178912145 1318412190 1571882860 1757882920 1886259432 2357824290 2636824380 3143765720 4715648580 5273648760 9431297160 18941188463 37882376926 56823565389 75764753852 94705942315 113647130778 151529507704 189411884630 227294261556 284117826945 378823769260 454588523112 568235653890 757647538520 1136471307780 2272942615560