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2240442504 = 23353972903
BaseRepresentation
bin1000010110001010…
…0111000010001000
312210010210021100000
42011202213002020
514042023130004
61010152243000
7106343306226
oct20542470210
95703707300
102240442504
11a4a742683
125263a0460
13299221731
141737a7b16
15d1a59c39
hex858a7088

2240442504 has 96 divisors (see below), whose sum is σ = 6310624320. Its totient is φ = 744676416.

The previous prime is 2240442497. The next prime is 2240442511. The reversal of 2240442504 is 4052440422.

2240442504 is a `hidden beast` number, since 2 + 2 + 404 + 4 + 250 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2240442497) and next prime (2240442511).

It is a super-2 number, since 2×22404425042 = 10039165227459580032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 770317 + ... + 773219.

It is an arithmetic number, because the mean of its divisors is an integer number (65735670).

Almost surely, 22240442504 is an apocalyptic number.

2240442504 is a gapful number since it is divisible by the number (24) 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 2240442504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155312160).

2240442504 is an abundant number, since it is smaller than the sum of its proper divisors (4070181816).

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

2240442504 is a wasteful number, since it uses less digits than its factorization.

2240442504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 2240442504 is about 47333.3128356763. The cubic root of 2240442504 is about 1308.5126767316.

Adding to 2240442504 its reverse (4052440422), we get a palindrome (6292882926).

The spelling of 2240442504 in words is "two billion, two hundred forty million, four hundred forty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 397 486 648 794 972 1191 1588 1944 2382 2903 3176 3573 4764 5806 7146 8709 9528 10719 11612 14292 17418 21438 23224 26127 28584 32157 34836 42876 52254 64314 69672 78381 85752 96471 104508 128628 156762 192942 209016 235143 257256 313524 385884 470286 627048 705429 771768 940572 1152491 1410858 1881144 2304982 2821716 3457473 4609964 5643432 6914946 9219928 10372419 13829892 20744838 27659784 31117257 41489676 62234514 82979352 93351771 124469028 186703542 248938056 280055313 373407084 560110626 746814168 1120221252 2240442504