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22332332440 = 23511379133919
BaseRepresentation
bin10100110011000111…
…000101100110011000
32010122101020000212201
4110303013011212120
5331214034114230
614132003215544
71420262456635
oct246307054630
963571200781
1022332332440
1195200239a0
1243b30775b4
13214b9605c2
14111bd6d18c
158aa8c75ca
hex5331c5998

22332332440 has 64 divisors (see below), whose sum is σ = 54960768000. Its totient is φ = 8099360640.

The previous prime is 22332332419. The next prime is 22332332453. The reversal of 22332332440 is 4423323322.

It is a junction number, because it is equal to n+sod(n) for n = 22332332399 and 22332332408.

It is a congruent number.

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, 99801 + ... + 233719.

It is an arithmetic number, because the mean of its divisors is an integer number (858762000).

Almost surely, 222332332440 is an apocalyptic number.

22332332440 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 22332332440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27480384000).

22332332440 is an abundant number, since it is smaller than the sum of its proper divisors (32628435560).

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

22332332440 is a wasteful number, since it uses less digits than its factorization.

22332332440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134320 (or 134316 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 22332332440 its reverse (4423323322), we get a palindrome (26755655762).

The spelling of 22332332440 in words is "twenty-two billion, three hundred thirty-two million, three hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 379 440 758 1516 1895 3032 3790 4169 7580 8338 15160 16676 20845 33352 41690 83380 133919 166760 267838 535676 669595 1071352 1339190 1473109 2678380 2946218 5356760 5892436 7365545 11784872 14731090 29462180 50755301 58924360 101510602 203021204 253776505 406042408 507553010 558308311 1015106020 1116616622 2030212040 2233233244 2791541555 4466466488 5583083110 11166166220 22332332440