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2222541120 = 26354156467
BaseRepresentation
bin1000010001111001…
…0100100101000000
312201220002210020210
42010132110211000
514022432303440
61004312434120
7106035200502
oct20436244500
95656083223
102222541120
11a40626048
125203a8940
132955c45b7
14171267d72
15d01c0a80
hex84794940

2222541120 has 112 divisors (see below), whose sum is σ = 7228807488. Its totient is φ = 578211840.

The previous prime is 2222541091. The next prime is 2222541127. The reversal of 2222541120 is 211452222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222541127) by changing a digit.

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, 11127 + ... + 67593.

It is an arithmetic number, because the mean of its divisors is an integer number (64542924).

Almost surely, 22222541120 is an apocalyptic number.

2222541120 is a gapful number since it is divisible by the number (20) 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 2222541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614403744).

2222541120 is an abundant number, since it is smaller than the sum of its proper divisors (5006266368).

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

2222541120 is a wasteful number, since it uses less digits than its factorization.

2222541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56528 (or 56518 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2222541120 is about 47143.8343794817. The cubic root of 2222541120 is about 1305.0182995335.

Adding to 2222541120 its reverse (211452222), we get a palindrome (2433993342).

The spelling of 2222541120 in words is "two billion, two hundred twenty-two million, five hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 615 656 820 960 984 1230 1312 1640 1968 2460 2624 3280 3936 4920 6560 7872 9840 13120 19680 39360 56467 112934 169401 225868 282335 338802 451736 564670 677604 847005 903472 1129340 1355208 1694010 1806944 2258680 2315147 2710416 3388020 3613888 4517360 4630294 5420832 6776040 6945441 9034720 9260588 10841664 11575735 13552080 13890882 18069440 18521176 23151470 27104160 27781764 34727205 37042352 46302940 54208320 55563528 69454410 74084704 92605880 111127056 138908820 148169408 185211760 222254112 277817640 370423520 444508224 555635280 740847040 1111270560 2222541120