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2242102440 = 2335154312109
BaseRepresentation
bin1000010110100011…
…1100010010101000
312210020220121100010
42011220330102220
514042434234230
61010252011520
7106363361544
oct20550742250
95706817303
102242102440
11a50676826
12526a60ba0
13299683146
14173abaa24
15d1c869b0
hex85a3c4a8

2242102440 has 64 divisors (see below), whose sum is σ = 6731222400. Its totient is φ = 597457152.

The previous prime is 2242102411. The next prime is 2242102441. The reversal of 2242102440 is 442012422.

It is not an unprimeable number, because it can be changed into a prime (2242102441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 179106 + ... + 191214.

It is an arithmetic number, because the mean of its divisors is an integer number (105175350).

Almost surely, 22242102440 is an apocalyptic number.

2242102440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242102440 is an abundant number, since it is smaller than the sum of its proper divisors (4489119960).

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

2242102440 is a wasteful number, since it uses less digits than its factorization.

2242102440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13666 (or 13662 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2242102440 is about 47350.8441318632. The cubic root of 2242102440 is about 1308.8357544413.

Adding to 2242102440 its reverse (442012422), we get a palindrome (2684114862).

The spelling of 2242102440 in words is "two billion, two hundred forty-two million, one hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1543 3086 4629 6172 7715 9258 12109 12344 15430 18516 23145 24218 30860 36327 37032 46290 48436 60545 61720 72654 92580 96872 121090 145308 181635 185160 242180 290616 363270 484360 726540 1453080 18684187 37368374 56052561 74736748 93420935 112105122 149473496 186841870 224210244 280262805 373683740 448420488 560525610 747367480 1121051220 2242102440