Search a number
-
+
22322142412068 = 22329701103988069
BaseRepresentation
bin1010001001101010001110…
…10111100111110100100100
32221000222100111002110110210
411010311013113213310210
510411211221424141233
6115250352313015420
74462502332605462
oct504650727476444
987028314073423
1022322142412068
117126849500024
1226062203b4570
13c5bc79b6bb85
1457257c8a1832
1528a9b43d2163
hex144d475e7d24

22322142412068 has 96 divisors (see below), whose sum is σ = 54010442304000. Its totient is φ = 7166903385600.

The previous prime is 22322142412021. The next prime is 22322142412069. The reversal of 22322142412068 is 86021424122322.

It is a happy number.

It is a super-3 number, since 3×223221424120683 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (22322142412069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253417938 + ... + 253506006.

It is an arithmetic number, because the mean of its divisors is an integer number (562608774000).

Almost surely, 222322142412068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22322142412068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27005221152000).

22322142412068 is an abundant number, since it is smaller than the sum of its proper divisors (31688299891932).

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

22322142412068 is a wasteful number, since it uses less digits than its factorization.

22322142412068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89845 (or 89843 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 22322142412068 in words is "twenty-two trillion, three hundred twenty-two billion, one hundred forty-two million, four hundred twelve thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 701 1039 1402 2078 2103 2804 3117 4156 4206 6234 8412 12468 20329 30131 40658 60262 60987 81316 88069 90393 120524 121974 176138 180786 243948 264207 352276 361572 528414 728339 1056828 1456678 2185017 2554001 2913356 4370034 5108002 7662003 8740068 10216004 15324006 21121831 30648012 42243662 61736369 63365493 84487324 91503691 123472738 126730986 183007382 185209107 246945476 253461972 274511073 366014764 370418214 549022146 740836428 1098044292 1790354701 2653607039 3580709402 5307214078 5371064103 7161418804 7960821117 10614428156 10742128206 15921642234 21484256412 31843284468 64144087391 128288174782 192432262173 256576349564 384864524346 769729048692 1860178534339 3720357068678 5580535603017 7440714137356 11161071206034 22322142412068