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2205222144 = 28313720959
BaseRepresentation
bin1000001101110001…
…0000010100000000
312200200111220002020
42003130100110000
514004014102034
61002453321440
7105435036036
oct20334202400
95620456066
102205222144
11a31877044
12516636280
13291b3c598
1416cc3a556
15cd8ee249
hex83710500

2205222144 has 72 divisors (see below), whose sum is σ = 5912229120. Its totient is φ = 729673728.

The previous prime is 2205222143. The next prime is 2205222193. The reversal of 2205222144 is 4412225022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205222143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94737 + ... + 115695.

Almost surely, 22205222144 is an apocalyptic number.

2205222144 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 2205222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956114560).

2205222144 is an abundant number, since it is smaller than the sum of its proper divisors (3707006976).

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

2205222144 is a wasteful number, since it uses less digits than its factorization.

2205222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21115 (or 21101 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2205222144 is about 46959.7928445175. The cubic root of 2205222144 is about 1301.6197057807.

Adding to 2205222144 its reverse (4412225022), we get a palindrome (6617447166).

The spelling of 2205222144 in words is "two billion, two hundred five million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 256 274 384 411 548 768 822 1096 1644 2192 3288 4384 6576 8768 13152 17536 20959 26304 35072 41918 52608 62877 83836 105216 125754 167672 251508 335344 503016 670688 1006032 1341376 2012064 2682752 2871383 4024128 5365504 5742766 8048256 8614149 11485532 16096512 17228298 22971064 34456596 45942128 68913192 91884256 137826384 183768512 275652768 367537024 551305536 735074048 1102611072 2205222144