Search a number
-
+
2295651072 = 283111320903
BaseRepresentation
bin1000100011010100…
…1101101100000000
312220222200011020210
42020311031230000
514200141313242
61015443434120
7110613466161
oct21065155400
95828604223
102295651072
11a789206a0
12540985940
132a77b1820
1417ac59768
15d6812d9c
hex88d4db00

2295651072 has 144 divisors (see below), whose sum is σ = 7178266368. Its totient is φ = 642109440.

The previous prime is 2295651067. The next prime is 2295651097. The reversal of 2295651072 is 2701565922.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2295651072.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99373 + ... + 120275.

It is an arithmetic number, because the mean of its divisors is an integer number (49849072).

Almost surely, 22295651072 is an apocalyptic number.

2295651072 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 2295651072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589133184).

2295651072 is an abundant number, since it is smaller than the sum of its proper divisors (4882615296).

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

2295651072 is a wasteful number, since it uses less digits than its factorization.

2295651072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20946 (or 20932 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 2295651072 is about 47912.9530711686. The cubic root of 2295651072 is about 1319.1736241759.

The spelling of 2295651072 in words is "two billion, two hundred ninety-five million, six hundred fifty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 286 312 352 384 416 429 528 572 624 704 768 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 2816 3328 3432 4224 4576 4992 6864 8448 9152 9984 13728 18304 20903 27456 36608 41806 54912 62709 83612 109824 125418 167224 229933 250836 271739 334448 459866 501672 543478 668896 689799 815217 919732 1003344 1086956 1337792 1379598 1630434 1839464 2006688 2173912 2675584 2759196 2989129 3260868 3678928 4013376 4347824 5351168 5518392 5978258 6521736 7357856 8026752 8695648 8967387 11036784 11956516 13043472 14715712 16053504 17391296 17934774 22073568 23913032 26086944 29431424 34782592 35869548 44147136 47826064 52173888 58862848 69565184 71739096 88294272 95652128 104347776 143478192 176588544 191304256 208695552 286956384 382608512 573912768 765217024 1147825536 2295651072