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2242001040 = 243579118249
BaseRepresentation
bin1000010110100010…
…0011100010010000
312210020201110020120
42011220203202100
514042423013130
61010245510240
7106362460116
oct20550434220
95706643216
102242001040
11a50607624
12526a12380
13299648c46
14173a91ab6
15d1c66910
hex85a23890

2242001040 has 80 divisors (see below), whose sum is σ = 7038240000. Its totient is φ = 590294016.

The previous prime is 2242001029. The next prime is 2242001057. The reversal of 2242001040 is 401002422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×22420010402 = 10053137326722163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 40165 + ... + 78084.

It is an arithmetic number, because the mean of its divisors is an integer number (87978000).

Almost surely, 22242001040 is an apocalyptic number.

2242001040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242001040 is an abundant number, since it is smaller than the sum of its proper divisors (4796238960).

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

2242001040 is a wasteful number, since it uses less digits than its factorization.

2242001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118344 (or 118338 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2242001040 is about 47349.7733891093. The cubic root of 2242001040 is about 1308.8160232663.

Adding to 2242001040 its reverse (401002422), we get a palindrome (2643003462).

The spelling of 2242001040 in words is "two billion, two hundred forty-two million, one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2370 3160 3792 4740 6320 9480 18960 118249 236498 354747 472996 591245 709494 945992 1182490 1418988 1773735 1891984 2364980 2837976 3547470 4729960 5675952 7094940 9341671 9459920 14189880 18683342 28025013 28379760 37366684 46708355 56050026 74733368 93416710 112100052 140125065 149466736 186833420 224200104 280250130 373666840 448400208 560500260 747333680 1121000520 2242001040