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2275029960 = 2335719314033
BaseRepresentation
bin1000011110011010…
…0011001111001000
312212112212111101220
42013212203033020
514124401424320
61013425442040
7110243302260
oct20746431710
95775774356
102275029960
11a68216755
12535aa0320
132a3441798
1417820c7a0
15d4adce40
hex879a33c8

2275029960 has 128 divisors (see below), whose sum is σ = 7841076480. Its totient is φ = 517275648.

The previous prime is 2275029959. The next prime is 2275029997. The reversal of 2275029960 is 699205722.

It is a super-2 number, since 2×22750299602 = 10351522637795203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 155104 + ... + 169136.

It is an arithmetic number, because the mean of its divisors is an integer number (61258410).

Almost surely, 22275029960 is an apocalyptic number.

2275029960 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 2275029960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920538240).

2275029960 is an abundant number, since it is smaller than the sum of its proper divisors (5566046520).

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

2275029960 is a wasteful number, since it uses less digits than its factorization.

2275029960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14247 (or 14243 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 2275029960 is about 47697.2741359504. The cubic root of 2275029960 is about 1315.2118305348.

The spelling of 2275029960 in words is "two billion, two hundred seventy-five million, twenty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 193 210 280 386 420 579 772 840 965 1158 1351 1544 1930 2316 2702 2895 3860 4053 4632 5404 5790 6755 7720 8106 10808 11580 13510 14033 16212 20265 23160 27020 28066 32424 40530 42099 54040 56132 70165 81060 84198 98231 112264 140330 162120 168396 196462 210495 280660 294693 336792 392924 420990 491155 561320 589386 785848 841980 982310 1178772 1473465 1683960 1964620 2357544 2708369 2946930 3929240 5416738 5893860 8125107 10833476 11787720 13541845 16250214 18958583 21666952 27083690 32500428 37917166 40625535 54167380 56875749 65000856 75834332 81251070 94792915 108334760 113751498 151668664 162502140 189585830 227502996 284378745 325004280 379171660 455005992 568757490 758343320 1137514980 2275029960