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2275431312 = 243711797793
BaseRepresentation
bin1000011110100000…
…0101001110010000
312212120121212221210
42013220011032100
514130002300222
61013442220120
7110246563350
oct20750051620
95776555853
102275431312
11a68470250
12536054640
132a355237b
141782b4b60
15d4b6bd0c
hex87a05390

2275431312 has 160 divisors (see below), whose sum is σ = 7422382080. Its totient is φ = 583464960.

The previous prime is 2275431289. The next prime is 2275431329. The reversal of 2275431312 is 2131345722.

It is a self number, because there is not a number n which added to its sum of digits gives 2275431312.

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, 288088 + ... + 295880.

It is an arithmetic number, because the mean of its divisors is an integer number (46389888).

Almost surely, 22275431312 is an apocalyptic number.

2275431312 is a gapful number since it is divisible by the number (22) 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 2275431312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711191040).

2275431312 is an abundant number, since it is smaller than the sum of its proper divisors (5146950768).

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

2275431312 is a wasteful number, since it uses less digits than its factorization.

2275431312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7901 (or 7895 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 2275431312 is about 47701.4812348631. The cubic root of 2275431312 is about 1315.2891675179.

The spelling of 2275431312 in words is "two billion, two hundred seventy-five million, four hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 79 84 88 112 132 154 158 168 176 231 237 264 308 316 336 462 474 528 553 616 632 869 924 948 1106 1232 1264 1659 1738 1848 1896 2212 2607 3318 3476 3696 3792 4424 5214 6083 6636 6952 7793 8848 10428 12166 13272 13904 15586 18249 20856 23379 24332 26544 31172 36498 41712 46758 48664 54551 62344 72996 85723 93516 97328 109102 124688 145992 163653 171446 187032 218204 257169 291984 327306 342892 374064 436408 514338 600061 615647 654612 685784 872816 1028676 1200122 1231294 1309224 1371568 1800183 1846941 2057352 2400244 2462588 2618448 3600366 3693882 4114704 4309529 4800488 4925176 6772117 7200732 7387764 8619058 9600976 9850352 12928587 13544234 14401464 14775528 17238116 20316351 25857174 27088468 28802928 29551056 34476232 40632702 47404819 51714348 54176936 68952464 81265404 94809638 103428696 108353872 142214457 162530808 189619276 206857392 284428914 325061616 379238552 568857828 758477104 1137715656 2275431312