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1122422220 = 22325113139397
BaseRepresentation
bin100001011100110…
…1100110111001100
32220020000221211100
41002321230313030
54244320002340
6303213223100
736546300663
oct10271546714
92806027740
101122422220
1152663a477
12273a91a90
1314b70177a
14a90d7dda
1568814830
hex42e6cdcc

1122422220 has 144 divisors (see below), whose sum is σ = 3468235680. Its totient is φ = 293787648.

The previous prime is 1122422201. The next prime is 1122422237. The reversal of 1122422220 is 222242211.

1122422220 is a `hidden beast` number, since 1 + 1 + 22 + 422 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1122422193 and 1122422202.

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, 2827062 + ... + 2827458.

It is an arithmetic number, because the mean of its divisors is an integer number (24084970).

Almost surely, 21122422220 is an apocalyptic number.

1122422220 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 1122422220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734117840).

1122422220 is an abundant number, since it is smaller than the sum of its proper divisors (2345813460).

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

1122422220 is a wasteful number, since it uses less digits than its factorization.

1122422220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1122422220 is about 33502.5703491538. The cubic root of 1122422220 is about 1039.2469338783.

Adding to 1122422220 its reverse (222242211), we get a palindrome (1344664431).

Subtracting from 1122422220 its reverse (222242211), we obtain a square (900180009 = 300032).

The spelling of 1122422220 in words is "one billion, one hundred twenty-two million, four hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 139 180 226 278 339 397 417 452 556 565 678 695 794 834 1017 1130 1191 1251 1356 1390 1588 1668 1695 1985 2034 2085 2260 2382 2502 2780 3390 3573 3970 4068 4170 4764 5004 5085 5955 6255 6780 7146 7940 8340 10170 11910 12510 14292 15707 17865 20340 23820 25020 31414 35730 44861 47121 55183 62828 71460 78535 89722 94242 110366 134583 141363 157070 165549 179444 188484 220732 224305 235605 269166 275915 282726 314140 331098 403749 448610 471210 496647 538332 551830 565452 662196 672915 706815 807498 827745 897220 942420 993294 1103660 1345830 1413630 1614996 1655490 1986588 2018745 2483235 2691660 2827260 3310980 4037490 4966470 6235679 8074980 9932940 12471358 18707037 24942716 31178395 37414074 56121111 62356790 74828148 93535185 112242222 124713580 187070370 224484444 280605555 374140740 561211110 1122422220