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1222211340 = 2232573113119
BaseRepresentation
bin100100011011001…
…0111011100001100
310011011210202202200
41020312113130030
510000341230330
6321140121500
742200424240
oct11066273414
93134722680
101222211340
115779a7519
122a1396290
131662a029c
14b8472420
1572476a60
hex48d9770c

1222211340 has 144 divisors (see below), whose sum is σ = 4251985920. Its totient is φ = 278375040.

The previous prime is 1222211303. The next prime is 1222211371. The reversal of 1222211340 is 431122221.

It is a happy number.

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

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, 390301 + ... + 393419.

It is an arithmetic number, because the mean of its divisors is an integer number (29527680).

Almost surely, 21222211340 is an apocalyptic number.

1222211340 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 1222211340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125992960).

1222211340 is an abundant number, since it is smaller than the sum of its proper divisors (3029774580).

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

1222211340 is a wasteful number, since it uses less digits than its factorization.

1222211340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1222211340 is about 34960.1393017820. The cubic root of 1222211340 is about 1069.1749367982.

Adding to 1222211340 its reverse (431122221), we get a palindrome (1653333561).

The spelling of 1222211340 in words is "one billion, two hundred twenty-two million, two hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 311 315 420 622 630 933 1244 1260 1555 1866 2177 2799 3110 3119 3732 4354 4665 5598 6220 6238 6531 8708 9330 9357 10885 11196 12476 13062 13995 15595 18660 18714 19593 21770 21833 26124 27990 28071 31190 32655 37428 39186 43540 43666 46785 55980 56142 62380 65310 65499 78372 87332 93570 97965 109165 112284 130620 130998 140355 187140 195930 196497 218330 261996 280710 327495 391860 392994 436660 561420 654990 785988 970009 982485 1309980 1940018 1964970 2910027 3880036 3929940 4850045 5820054 6790063 8730081 9700090 11640108 13580126 14550135 17460162 19400180 20370189 27160252 29100270 33950315 34920324 40740378 43650405 58200540 61110567 67900630 81480756 87300810 101850945 122221134 135801260 174601620 203701890 244442268 305552835 407403780 611105670 1222211340