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1222344420 = 22351121011667
BaseRepresentation
bin100100011011011…
…0111111011100100
310011012001112022120
41020312313323210
510000410010140
6321143025540
742201520233
oct11066677344
93135045276
101222344420
11577a88500
122a143b2b0
13166318a2b
14b84a8b1a
15724a11d0
hex48db7ee4

1222344420 has 144 divisors (see below), whose sum is σ = 3801518784. Its totient is φ = 293216000.

The previous prime is 1222344397. The next prime is 1222344427. The reversal of 1222344420 is 244432221.

1222344420 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12223444202 = 2988251762210272800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1222344427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 732427 + ... + 734093.

It is an arithmetic number, because the mean of its divisors is an integer number (26399436).

Almost surely, 21222344420 is an apocalyptic number.

1222344420 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 1222344420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900759392).

1222344420 is an abundant number, since it is smaller than the sum of its proper divisors (2579174364).

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

1222344420 is a wasteful number, since it uses less digits than its factorization.

1222344420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1222344420 is about 34962.0425604683. The cubic root of 1222344420 is about 1069.2137409537.

Adding to 1222344420 its reverse (244432221), we get a palindrome (1466776641).

The spelling of 1222344420 in words is "one billion, two hundred twenty-two million, three hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 121 132 165 202 220 242 303 330 363 404 484 505 605 606 660 726 1010 1111 1210 1212 1452 1515 1667 1815 2020 2222 2420 3030 3333 3334 3630 4444 5001 5555 6060 6666 6668 7260 8335 10002 11110 12221 13332 16665 16670 18337 20004 22220 24442 25005 33330 33340 36663 36674 48884 50010 55011 61105 66660 73326 73348 91685 100020 110022 122210 146652 168367 183315 183370 201707 220044 244420 275055 336734 366630 366740 403414 505101 550110 605121 673468 733260 806828 841835 1008535 1010202 1100220 1210242 1683670 1852037 2017070 2020404 2420484 2525505 3025605 3367340 3704074 4034140 5051010 5556111 6051210 7408148 9260185 10102020 11112222 12102420 18520370 20372407 22224444 27780555 37040740 40744814 55561110 61117221 81489628 101862035 111122220 122234442 203724070 244468884 305586105 407448140 611172210 1222344420