Search a number
-
+
22020114140 = 2253767835351
BaseRepresentation
bin10100100000100000…
…000100011011011100
32002211121201200212222
4110200200010123130
5330044122123030
614041011244512
71406451611333
oct244040043334
962747650788
1022020114140
11937a864742
1243265a9738
1320cc07534b
1410cc6d8d1a
1588d2a33e5
hex5208046dc

22020114140 has 96 divisors (see below), whose sum is σ = 48790715904. Its totient is φ = 8338809600.

The previous prime is 22020114133. The next prime is 22020114143. The reversal of 22020114140 is 4141102022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22020114143) 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, 4112465 + ... + 4117815.

It is an arithmetic number, because the mean of its divisors is an integer number (508236624).

Almost surely, 222020114140 is an apocalyptic number.

22020114140 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 22020114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24395357952).

22020114140 is an abundant number, since it is smaller than the sum of its proper divisors (26770601764).

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

22020114140 is a wasteful number, since it uses less digits than its factorization.

22020114140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5547 (or 5545 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22020114140 its reverse (4141102022), we get a palindrome (26161216162).

The spelling of 22020114140 in words is "twenty-two billion, twenty million, one hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 67 74 83 134 148 166 185 268 332 335 370 415 670 740 830 1340 1660 2479 3071 4958 5351 5561 6142 9916 10702 11122 12284 12395 15355 21404 22244 24790 26755 27805 30710 49580 53510 55610 61420 107020 111220 197987 205757 358517 395974 411514 444133 717034 791948 823028 888266 989935 1028785 1434068 1776532 1792585 1979870 2057570 2220665 3585170 3959740 4115140 4441330 7170340 8882660 13265129 16432921 26530258 29756911 32865842 53060516 59513822 65731684 66325645 82164605 119027644 132651290 148784555 164329210 265302580 297569110 328658420 595138220 1101005707 2202011414 4404022828 5505028535 11010057070 22020114140