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2214322440 = 2335117123627
BaseRepresentation
bin1000001111111011…
…1110000100001000
312201022122020100020
42003332332010020
514013331304230
61003420340440
7105605300361
oct20376760410
95638566306
102214322440
11a36a22250
125196a4720
132939a7785
14170128b68
15ce5ea810
hex83fbe108

2214322440 has 128 divisors (see below), whose sum is σ = 7349253120. Its totient is φ = 529222400.

The previous prime is 2214322433. The next prime is 2214322477. The reversal of 2214322440 is 442234122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2214322440.

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, 81907 + ... + 105533.

It is an arithmetic number, because the mean of its divisors is an integer number (57416040).

Almost surely, 22214322440 is an apocalyptic number.

2214322440 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 2214322440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674626560).

2214322440 is an abundant number, since it is smaller than the sum of its proper divisors (5134930680).

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

2214322440 is a wasteful number, since it uses less digits than its factorization.

2214322440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23723 (or 23719 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2214322440 is about 47056.5876365892. The cubic root of 2214322440 is about 1303.4077143219.

Adding to 2214322440 its reverse (442234122), we get a palindrome (2656556562).

The spelling of 2214322440 in words is "two billion, two hundred fourteen million, three hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 71 88 110 120 132 142 165 213 220 264 284 330 355 426 440 568 660 710 781 852 1065 1320 1420 1562 1704 2130 2343 2840 3124 3905 4260 4686 6248 7810 8520 9372 11715 15620 18744 23430 23627 31240 46860 47254 70881 93720 94508 118135 141762 189016 236270 259897 283524 354405 472540 519794 567048 708810 779691 945080 1039588 1299485 1417620 1559382 1677517 2079176 2598970 2835240 3118764 3355034 3898455 5032551 5197940 6237528 6710068 7796910 8387585 10065102 10395880 13420136 15593820 16775170 18452687 20130204 25162755 31187640 33550340 36905374 40260408 50325510 55358061 67100680 73810748 92263435 100651020 110716122 147621496 184526870 201302040 221432244 276790305 369053740 442864488 553580610 738107480 1107161220 2214322440