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1222464012 = 2237117916747
BaseRepresentation
bin100100011011101…
…0101001000001100
310011012021121100220
41020313111020030
510000422322022
6321145351340
742202526010
oct11067251014
93135247326
101222464012
1157805a340
122a1498550
1316635b2b3
14b84da540
15724c685c
hex48dd520c

1222464012 has 96 divisors (see below), whose sum is σ = 3601489920. Its totient is φ = 313485120.

The previous prime is 1222463989. The next prime is 1222464029. The reversal of 1222464012 is 2104642221.

It is a happy number.

It is a super-2 number, since 2×12224640122 = 2988836521270272288, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64623 + ... + 81369.

It is an arithmetic number, because the mean of its divisors is an integer number (37515520).

Almost surely, 21222464012 is an apocalyptic number.

1222464012 is a gapful number since it is divisible by the number (12) 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 1222464012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800744960).

1222464012 is an abundant number, since it is smaller than the sum of its proper divisors (2379025908).

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

1222464012 is a wasteful number, since it uses less digits than its factorization.

1222464012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16851 (or 16849 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1222464012 is about 34963.7528306102. The cubic root of 1222464012 is about 1069.2486098056.

The spelling of 1222464012 in words is "one billion, two hundred twenty-two million, four hundred sixty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 79 84 132 154 158 231 237 308 316 462 474 553 869 924 948 1106 1659 1738 2212 2607 3318 3476 5214 6083 6636 10428 12166 16747 18249 24332 33494 36498 50241 66988 72996 100482 117229 184217 200964 234458 351687 368434 468916 552651 703374 736868 1105302 1289519 1323013 1406748 2210604 2579038 2646026 3868557 3969039 5158076 5292052 7737114 7938078 9261091 14553143 15474228 15876156 18522182 27783273 29106286 37044364 43659429 55566546 58212572 87318858 101872001 111133092 174637716 203744002 305616003 407488004 611232006 1222464012