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1222211320 = 235112673769
BaseRepresentation
bin100100011011001…
…0111011011111000
310011011210202201221
41020312113123320
510000341230240
6321140121424
742200424211
oct11066273370
93134722657
101222211320
115779a7500
122a1396274
131662a0285
14b8472408
1572476a4a
hex48d976f8

1222211320 has 96 divisors (see below), whose sum is σ = 3068629200. Its totient is φ = 437690880.

The previous prime is 1222211303. The next prime is 1222211371. The reversal of 1222211320 is 231122221.

It is a happy number.

It is a super-2 number, since 2×12222113202 = 2987601021472284800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1222211294 and 1222211303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322396 + ... + 326164.

Almost surely, 21222211320 is an apocalyptic number.

1222211320 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 1222211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534314600).

1222211320 is an abundant number, since it is smaller than the sum of its proper divisors (1846417880).

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

1222211320 is a wasteful number, since it uses less digits than its factorization.

1222211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3869 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1222211320 is about 34960.1390157419. The cubic root of 1222211320 is about 1069.1749309662.

Adding to 1222211320 its reverse (231122221), we get a palindrome (1453333541).

The spelling of 1222211320 in words is "one billion, two hundred twenty-two million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 121 134 220 242 268 335 440 484 536 605 670 737 968 1210 1340 1474 2420 2680 2948 3685 3769 4840 5896 7370 7538 8107 14740 15076 16214 18845 29480 30152 32428 37690 40535 41459 64856 75380 81070 82918 150760 162140 165836 207295 252523 324280 331672 414590 456049 505046 829180 912098 1010092 1262615 1658360 1824196 2020184 2280245 2525230 2777753 3648392 4560490 5050460 5555506 9120980 10100920 11111012 13888765 18241960 22222024 27777530 30555283 55555060 61110566 111110120 122221132 152776415 244442264 305552830 611105660 1222211320