Search a number
-
+
22404131120 = 245741995483
BaseRepresentation
bin10100110111011000…
…111110100100110000
32010211101022210011002
4110313120332210300
5331340424143440
614143050141132
71422123654350
oct246730764460
963741283132
1022404131120
119557603348
1244131217a8
1321607aba27
1411276dcb60
158b1d5b115
hex53763e930

22404131120 has 80 divisors (see below), whose sum is σ = 59673680640. Its totient is φ = 7663003392.

The previous prime is 22404131069. The next prime is 22404131131. The reversal of 22404131120 is 2113140422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22404131092 and 22404131101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186899 + ... + 282381.

It is an arithmetic number, because the mean of its divisors is an integer number (745921008).

Almost surely, 222404131120 is an apocalyptic number.

22404131120 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 22404131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29836840320).

22404131120 is an abundant number, since it is smaller than the sum of its proper divisors (37269549520).

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

22404131120 is a wasteful number, since it uses less digits than its factorization.

22404131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95922 (or 95916 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 22404131120 its reverse (2113140422), we get a palindrome (24517271542).

The spelling of 22404131120 in words is "twenty-two billion, four hundred four million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 419 560 838 1676 2095 2933 3352 4190 5866 6704 8380 11732 14665 16760 23464 29330 33520 46928 58660 95483 117320 190966 234640 381932 477415 668381 763864 954830 1336762 1527728 1909660 2673524 3341905 3819320 5347048 6683810 7638640 10694096 13367620 26735240 40007377 53470480 80014754 160029508 200036885 280051639 320059016 400073770 560103278 640118032 800147540 1120206556 1400258195 1600295080 2240413112 2800516390 3200590160 4480826224 5601032780 11202065560 22404131120