Search a number
-
+
22222020211120 = 2451034436087691
BaseRepresentation
bin1010000110101111101111…
…00111101111000110110000
32220200101220210111200001001
411003113313213233012300
510403041144133223440
6115132353302451344
74452326243131132
oct503276747570660
986611823450031
1022222020211120
11709834009a604
1225aa939733b54
13c526b1c447a2
1456b7a1511052
152880a45a9b9a
hex1435f79ef1b0

22222020211120 has 80 divisors (see below), whose sum is σ = 52285579437312. Its totient is φ = 8782637310720.

The previous prime is 22222020211093. The next prime is 22222020211121. The reversal of 22222020211120 is 2111202022222.

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

It is not an unprimeable number, because it can be changed into a prime (22222020211121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606475 + ... + 6694165.

Almost surely, 222222020211120 is an apocalyptic number.

22222020211120 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 22222020211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26142789718656).

22222020211120 is an abundant number, since it is smaller than the sum of its proper divisors (30063559226192).

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

22222020211120 is a wasteful number, since it uses less digits than its factorization.

22222020211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6088250 (or 6088244 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 22222020211120 its reverse (2111202022222), we get a palindrome (24333222233342).

The spelling of 22222020211120 in words is "twenty-two trillion, two hundred twenty-two billion, twenty million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 443 515 824 886 1030 1648 1772 2060 2215 3544 4120 4430 7088 8240 8860 17720 35440 45629 91258 182516 228145 365032 456290 730064 912580 1825160 3650320 6087691 12175382 24350764 30438455 48701528 60876910 97403056 121753820 243507640 487015280 627032173 1254064346 2508128692 2696847113 3135160865 5016257384 5393694226 6270321730 10032514768 10787388452 12540643460 13484235565 21574776904 25081286920 26968471130 43149553808 50162573840 53936942260 107873884520 215747769040 277775252639 555550505278 1111101010556 1388876263195 2222202021112 2777752526390 4444404042224 5555505052780 11111010105560 22222020211120