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2242350594 = 2331121117891
BaseRepresentation
bin1000010110100111…
…1000111000000010
312210021101012202000
42011221320320002
514043020204334
61010301204430
7106365444201
oct20551707002
95707335660
102242350594
11a50826210
12526b60716
1329973c093
14173b43238
15d1cd5299
hex85a78e02

2242350594 has 64 divisors (see below), whose sum is σ = 5462069760. Its totient is φ = 676242000.

The previous prime is 2242350577. The next prime is 2242350611. The reversal of 2242350594 is 4950532422.

2242350594 is a `hidden beast` number, since 22 + 42 + 3 + 5 + 0 + 594 = 666.

It is an interprime number because it is at equal distance from previous prime (2242350577) and next prime (2242350611).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116389 + ... + 134279.

It is an arithmetic number, because the mean of its divisors is an integer number (85344840).

Almost surely, 22242350594 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242350594, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731034880).

2242350594 is an abundant number, since it is smaller than the sum of its proper divisors (3219719166).

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

2242350594 is a wasteful number, since it uses less digits than its factorization.

2242350594 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18124 (or 18118 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2242350594 is about 47353.4644350337. The cubic root of 2242350594 is about 1308.8840396044.

It can be divided in two parts, 2242 and 350594, that added together give a square (352836 = 5942).

The spelling of 2242350594 in words is "two billion, two hundred forty-two million, three hundred fifty thousand, five hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 211 297 422 594 633 1266 1899 2321 3798 4642 5697 6963 11394 13926 17891 20889 35782 41778 53673 62667 107346 125334 161019 196801 322038 393602 483057 590403 966114 1180806 1771209 3542418 3775001 5313627 7550002 10627254 11325003 22650006 33975009 41525011 67950018 83050022 101925027 124575033 203850054 249150066 373725099 747450198 1121175297 2242350594