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2203114340 = 2257232923593
BaseRepresentation
bin1000001101010000…
…1101101101100100
312200112112210201102
42003110031231210
514002444124330
61002340215232
7105411106610
oct20324155544
95615483642
102203114340
11a30667459
1251599a518
1329158206b
1416c84c340
15cd634945
hex8350db64

2203114340 has 96 divisors (see below), whose sum is σ = 5707860480. Its totient is φ = 697568256.

The previous prime is 2203114327. The next prime is 2203114349. The reversal of 2203114340 is 434113022.

It is a super-2 number, since 2×22031143402 = 9707425590227271200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2203114349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81584 + ... + 105176.

It is an arithmetic number, because the mean of its divisors is an integer number (59456880).

Almost surely, 22203114340 is an apocalyptic number.

2203114340 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 2203114340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853930240).

2203114340 is an abundant number, since it is smaller than the sum of its proper divisors (3504746140).

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

2203114340 is a wasteful number, since it uses less digits than its factorization.

2203114340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23661 (or 23659 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2203114340 is about 46937.3448332988. The cubic root of 2203114340 is about 1301.2048671798.

Adding to 2203114340 its reverse (434113022), we get a palindrome (2637227362).

The spelling of 2203114340 in words is "two billion, two hundred three million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 29 35 46 58 70 92 115 116 140 145 161 203 230 290 322 406 460 580 644 667 805 812 1015 1334 1610 2030 2668 3220 3335 4060 4669 6670 9338 13340 18676 23345 23593 46690 47186 93380 94372 117965 165151 235930 330302 471860 542639 660604 684197 825755 1085278 1368394 1651510 2170556 2713195 2736788 3303020 3420985 3798473 4789379 5426390 6841970 7596946 9578758 10852780 13683940 15193892 15736531 18992365 19157516 23946895 31473062 37984730 47893790 62946124 75969460 78682655 95787580 110155717 157365310 220311434 314730620 440622868 550778585 1101557170 2203114340