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1123440224220 = 2232523829327337
BaseRepresentation
bin10000010110010010010…
…000010110011111011100
310222101210110222112102100
4100112102100112133130
5121401301144133340
62220033514525100
7144110616226446
oct20262220263734
93871713875370
101123440224220
113a34a279a426
12161891a36790
1381c2b120632
143c53662b496
151e35376c830
hex105924167dc

1123440224220 has 144 divisors (see below), whose sum is σ = 3560232836160. Its totient is φ = 286212123648.

The previous prime is 1123440224209. The next prime is 1123440224303. The reversal of 1123440224220 is 224220443211.

It is a happy number.

1123440224220 is a `hidden beast` number, since 1 + 1 + 2 + 34 + 402 + 2 + 4 + 220 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3268392 + ... + 3595728.

It is an arithmetic number, because the mean of its divisors is an integer number (24723839140).

Almost surely, 21123440224220 is an apocalyptic number.

1123440224220 is a gapful number since it is divisible by the number (10) 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 1123440224220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780116418080).

1123440224220 is an abundant number, since it is smaller than the sum of its proper divisors (2436792611940).

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

1123440224220 is a wasteful number, since it uses less digits than its factorization.

1123440224220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328204 (or 328199 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1123440224220 its reverse (224220443211), we get a palindrome (1347660667431).

The spelling of 1123440224220 in words is "one trillion, one hundred twenty-three billion, four hundred forty million, two hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 829 1035 1380 1658 2070 2487 3316 4140 4145 4974 7461 8290 9948 12435 14922 16580 19067 24870 29844 37305 38134 49740 57201 74610 76268 95335 114402 149220 171603 190670 228804 286005 327337 343206 381340 572010 654674 686412 858015 982011 1144020 1309348 1636685 1716030 1964022 2946033 3273370 3432060 3928044 4910055 5892066 6546740 7528751 9820110 11784132 14730165 15057502 19640220 22586253 29460330 30115004 37643755 45172506 58920660 67758759 75287510 90345012 112931265 135517518 150575020 225862530 271035036 271362373 338793795 451725060 542724746 677587590 814087119 1085449492 1355175180 1356811865 1628174238 2442261357 2713623730 3256348476 4070435595 4884522714 5427247460 6241334579 8140871190 9769045428 12211306785 12482669158 16281742380 18724003737 24422613570 24965338316 31206672895 37448007474 48845227140 56172011211 62413345790 74896014948 93620018685 112344022422 124826691580 187240037370 224688044844 280860056055 374480074740 561720112110 1123440224220