Search a number
-
+
22114213000 = 23531111317791
BaseRepresentation
bin10100100110000111…
…000001110010001000
32010002011210102020221
4110212013001302020
5330242214304000
614054212155424
71412003465125
oct244607016210
963064712227
1022114213000
1194189955a0
124352008b74
132115700b49
1410dadd174c
1589668e61a
hex5261c1c88

22114213000 has 128 divisors (see below), whose sum is σ = 56954327040. Its totient is φ = 7969920000.

The previous prime is 22114212973. The next prime is 22114213007. The reversal of 22114213000 is 31241122.

It is not an unprimeable number, because it can be changed into a prime (22114213007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1234105 + ... + 1251895.

It is an arithmetic number, because the mean of its divisors is an integer number (444955680).

Almost surely, 222114213000 is an apocalyptic number.

22114213000 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 22114213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28477163520).

22114213000 is an abundant number, since it is smaller than the sum of its proper divisors (34840114040).

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

22114213000 is a wasteful number, since it uses less digits than its factorization.

22114213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17936 (or 17922 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22114213000 its reverse (31241122), we get a palindrome (22145454122).

The spelling of 22114213000 in words is "twenty-two billion, one hundred fourteen million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 113 125 200 220 226 250 275 440 452 500 550 565 904 1000 1100 1130 1243 1375 2200 2260 2486 2750 2825 4520 4972 5500 5650 6215 9944 11000 11300 12430 14125 17791 22600 24860 28250 31075 35582 49720 56500 62150 71164 88955 113000 124300 142328 155375 177910 195701 248600 310750 355820 391402 444775 621500 711640 782804 889550 978505 1243000 1565608 1779100 1957010 2010383 2223875 3558200 3914020 4020766 4447750 4892525 7828040 8041532 8895500 9785050 10051915 16083064 17791000 19570100 20103830 22114213 24462625 39140200 40207660 44228426 48925250 50259575 80415320 88456852 97850500 100519150 110571065 176913704 195701000 201038300 221142130 251297875 402076600 442284260 502595750 552855325 884568520 1005191500 1105710650 2010383000 2211421300 2764276625 4422842600 5528553250 11057106500 22114213000