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2220021340 = 225292891483
BaseRepresentation
bin1000010001010010…
…1101011001011100
312201201100202202121
42010110231121130
514021311140330
61004142432324
7106004604265
oct20424553134
95651322677
102220021340
11a3a164989
1251b5926a4
13294c216c4
14170bad96c
15ced7417a
hex8452d65c

2220021340 has 72 divisors (see below), whose sum is σ = 4885891920. Its totient is φ = 847182336.

The previous prime is 2220021319. The next prime is 2220021367. The reversal of 2220021340 is 431200222.

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, 1496239 + ... + 1497721.

It is an arithmetic number, because the mean of its divisors is an integer number (67859610).

Almost surely, 22220021340 is an apocalyptic number.

2220021340 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 2220021340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442945960).

2220021340 is an abundant number, since it is smaller than the sum of its proper divisors (2665870580).

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

2220021340 is a wasteful number, since it uses less digits than its factorization.

2220021340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2220021340 is about 47117.1024151528. The cubic root of 2220021340 is about 1304.5249299579.

Adding to 2220021340 its reverse (431200222), we get a palindrome (2651221562).

The spelling of 2220021340 in words is "two billion, two hundred twenty million, twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 89 116 145 178 290 356 445 580 841 890 1483 1682 1780 2581 2966 3364 4205 5162 5932 7415 8410 10324 12905 14830 16820 25810 29660 43007 51620 74849 86014 131987 149698 172028 215035 263974 299396 374245 430070 527948 659935 748490 860140 1247203 1319870 1496980 2494406 2639740 3827623 4988812 6236015 7655246 12472030 15310492 19138115 24944060 38276230 76552460 111001067 222002134 444004268 555005335 1110010670 2220021340