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2221033140 = 2232541300953
BaseRepresentation
bin1000010001100010…
…0100011010110100
312201210021011200200
42010120210122310
514022041030030
61004220240500
7106016320164
oct20430443264
95653234620
102221033140
11a3a796087
1251b9a0130
132951b70c1
14170d945a4
15ceec3d60
hex846246b4

2221033140 has 72 divisors (see below), whose sum is σ = 6901477128. Its totient is φ = 577827840.

The previous prime is 2221033109. The next prime is 2221033259. The reversal of 2221033140 is 413301222.

It can be written as a sum of positive squares in 4 ways, for example, as 9400356 + 2211632784 = 3066^2 + 47028^2 .

It is a super-3 number, since 3×22210331403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143097 + ... + 157856.

It is an arithmetic number, because the mean of its divisors is an integer number (95853849).

Almost surely, 22221033140 is an apocalyptic number.

2221033140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221033140 is an abundant number, since it is smaller than the sum of its proper divisors (4680443988).

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

2221033140 is a wasteful number, since it uses less digits than its factorization.

2221033140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301009 (or 301004 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2221033140 is about 47127.8382699652. The cubic root of 2221033140 is about 1304.7230838868.

Adding to 2221033140 its reverse (413301222), we get a palindrome (2634334362).

The spelling of 2221033140 in words is "two billion, two hundred twenty-one million, thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 300953 601906 902859 1203812 1504765 1805718 2708577 3009530 3611436 4514295 5417154 6019060 9028590 10834308 12339073 13542885 18057180 24678146 27085770 37017219 49356292 54171540 61695365 74034438 111051657 123390730 148068876 185086095 222103314 246781460 370172190 444206628 555258285 740344380 1110516570 2221033140