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22050134040 = 23351123726289
BaseRepresentation
bin10100100010010010…
…100101100000011000
32002220201012212110010
4110202102211200120
5330124313242130
614044002521520
71410265022034
oct244222454030
962821185403
1022050134040
1193957a9080
1243346662a0
1321053563bc
1410d26b11c4
15890c330b0
hex5224a5818

22050134040 has 128 divisors (see below), whose sum is σ = 75301747200. Its totient is φ = 5113067520.

The previous prime is 22050134039. The next prime is 22050134047. The reversal of 22050134040 is 4043105022.

It is a super-2 number, since 2×220501340402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22050133998 and 22050134016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22050134047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332785 + ... + 393504.

It is an arithmetic number, because the mean of its divisors is an integer number (588294900).

Almost surely, 222050134040 is an apocalyptic number.

22050134040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22050134040 is an abundant number, since it is smaller than the sum of its proper divisors (53251613160).

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

22050134040 is a wasteful number, since it uses less digits than its factorization.

22050134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726337 (or 726333 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 22050134040 its reverse (4043105022), we get a palindrome (26093239062).

It can be divided in two parts, 220501 and 34040, that added together give a triangular number (254541 = T713).

The spelling of 22050134040 in words is "twenty-two billion, fifty million, one hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 6072 7590 10120 15180 30360 726289 1452578 2178867 2905156 3631445 4357734 5810312 7262890 7989179 8715468 10894335 14525780 15978358 16704647 17430936 21788670 23967537 29051560 31956716 33409294 39945895 43577340 47935074 50113941 63913432 66818588 79891790 83523235 87154680 95870148 100227882 119837685 133637176 159783580 167046470 183751117 191740296 200455764 239675370 250569705 319567160 334092940 367502234 400911528 479350740 501139410 551253351 668185880 735004468 918755585 958701480 1002278820 1102506702 1470008936 1837511170 2004557640 2205013404 2756266755 3675022340 4410026808 5512533510 7350044680 11025067020 22050134040