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2290140648 = 233383139919
BaseRepresentation
bin1000100010000000…
…1100010111101000
312220121022012101000
42020200030113220
514142234000043
61015125355000
7110515605615
oct21040142750
95817265330
102290140648
11a757a7624
1253ab68a60
132a6602613
1417a22350c
15d60c52d3
hex8880c5e8

2290140648 has 128 divisors (see below), whose sum is σ = 6491520000. Its totient is φ = 747942336.

The previous prime is 2290140539. The next prime is 2290140667. The reversal of 2290140648 is 8460410922.

2290140648 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 1 + 4 + 0 + 648 = 666.

It is a super-3 number, since 3×22901406483 (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2491533 + ... + 2492451.

It is an arithmetic number, because the mean of its divisors is an integer number (50715000).

Almost surely, 22290140648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2290140648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245760000).

2290140648 is an abundant number, since it is smaller than the sum of its proper divisors (4201379352).

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

2290140648 is a wasteful number, since it uses less digits than its factorization.

2290140648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2290140648 is about 47855.4139883880. The cubic root of 2290140648 is about 1318.1172746098.

The spelling of 2290140648 in words is "two billion, two hundred ninety million, one hundred forty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 108 139 166 216 249 278 332 417 498 556 664 747 834 919 996 1112 1251 1494 1668 1838 1992 2241 2502 2757 2988 3336 3676 3753 4482 5004 5514 5976 7352 7506 8271 8964 10008 11028 11537 15012 16542 17928 22056 23074 24813 30024 33084 34611 46148 49626 66168 69222 76277 92296 99252 103833 127741 138444 152554 198504 207666 228831 255482 276888 305108 311499 383223 415332 457662 510964 610216 622998 686493 766446 830664 915324 1021928 1149669 1245996 1372986 1532892 1830648 2059479 2299338 2491992 2745972 3065784 3449007 4118958 4598676 5491944 6898014 8237916 9197352 10602503 13796028 16475832 21205006 27592056 31807509 42410012 63615018 84820024 95422527 127230036 190845054 254460072 286267581 381690108 572535162 763380216 1145070324 2290140648