Search a number
-
+
22132404041340 = 22352319997802019
BaseRepresentation
bin1010000100001000110100…
…00101001011011001111100
32220100211121021212112222210
411002010122011023121330
510400104130413310330
6115023252553140420
74443004414222125
oct502043205133174
986324537775883
1022132404041340
1170633330aa87a
1225954a93ba710
13c470cc7c1ba8
145672dd5a904c
15285aabc9a8b0
hex14211a14b67c

22132404041340 has 96 divisors (see below), whose sum is σ = 64668425310720. Its totient is φ = 5645077478656.

The previous prime is 22132404041333. The next prime is 22132404041383. The reversal of 22132404041340 is 4314040423122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22132404041298 and 22132404041307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27194851 + ... + 27996869.

It is an arithmetic number, because the mean of its divisors is an integer number (673629430320).

Almost surely, 222132404041340 is an apocalyptic number.

22132404041340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22132404041340 is an abundant number, since it is smaller than the sum of its proper divisors (42536021269380).

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

22132404041340 is a wasteful number, since it uses less digits than its factorization.

22132404041340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822051 (or 822049 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 22132404041340 its reverse (4314040423122), we get a palindrome (26446444464462).

The spelling of 22132404041340 in words is "twenty-two trillion, one hundred thirty-two billion, four hundred four million, forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 19997 39994 59991 79988 99985 119982 199970 239964 299955 399940 459931 599910 802019 919862 1199820 1379793 1604038 1839724 2299655 2406057 2759586 3208076 4010095 4599310 4812114 5519172 6898965 8020190 9198620 9624228 12030285 13797930 16040380 18446437 24060570 27595860 36892874 48121140 55339311 73785748 92232185 110678622 184464370 221357244 276696555 368928740 553393110 1106786220 16037973943 32075947886 48113921829 64151895772 80189869715 96227843658 160379739430 192455687316 240569609145 320759478860 368873400689 481139218290 737746801378 962278436580 1106620202067 1475493602756 1844367003445 2213240404134 3688734006890 4426480808268 5533101010335 7377468013780 11066202020670 22132404041340