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2221431540 = 2235233474639
BaseRepresentation
bin1000010001101000…
…0101101011110100
312201211000102012020
42010122011223310
514022141302130
61004232553140
7106022566536
oct20432055364
95654012166
102221431540
11a3aa38439
1251bb527b0
132952c6543
14171059856
15d0051e10
hex84685af4

2221431540 has 96 divisors (see below), whose sum is σ = 6510551040. Its totient is φ = 564871296.

The previous prime is 2221431539. The next prime is 2221431577. The reversal of 2221431540 is 451341222.

It is a self number, because there is not a number n which added to its sum of digits gives 2221431540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476541 + ... + 481179.

It is an arithmetic number, because the mean of its divisors is an integer number (67818240).

Almost surely, 22221431540 is an apocalyptic number.

2221431540 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 2221431540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255275520).

2221431540 is an abundant number, since it is smaller than the sum of its proper divisors (4289119500).

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

2221431540 is a wasteful number, since it uses less digits than its factorization.

2221431540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2221431540 is about 47132.0648815644. The cubic root of 2221431540 is about 1304.8010912175.

Adding to 2221431540 its reverse (451341222), we get a palindrome (2672772762).

The spelling of 2221431540 in words is "two billion, two hundred twenty-one million, four hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 347 460 690 694 1041 1380 1388 1735 2082 3470 4164 4639 5205 6940 7981 9278 10410 13917 15962 18556 20820 23195 23943 27834 31924 39905 46390 47886 55668 69585 79810 92780 95772 106697 119715 139170 159620 213394 239430 278340 320091 426788 478860 533485 640182 1066970 1280364 1600455 1609733 2133940 3200910 3219466 4829199 6401820 6438932 8048665 9658398 16097330 19316796 24145995 32194660 37023859 48291990 74047718 96583980 111071577 148095436 185119295 222143154 370238590 444286308 555357885 740477180 1110715770 2221431540