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1220213112 = 233236732993
BaseRepresentation
bin100100010111010…
…1111100101111000
310011001001020201020
41020232233211320
54444333304422
6321025222440
742144432426
oct11056574570
93131036636
101220213112
11576862198
122a0791a20
13165a508c1
14b80b2116
15721ce95c
hex48baf978

1220213112 has 64 divisors (see below), whose sum is σ = 3230772480. Its totient is φ = 383235072.

The previous prime is 1220213053. The next prime is 1220213119. The reversal of 1220213112 is 2113120221.

It is a junction number, because it is equal to n+sod(n) for n = 1220213091 and 1220213100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220213119) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20488 + ... + 53480.

It is an arithmetic number, because the mean of its divisors is an integer number (50480820).

Almost surely, 21220213112 is an apocalyptic number.

1220213112 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 1220213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615386240).

1220213112 is an abundant number, since it is smaller than the sum of its proper divisors (2010559368).

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

1220213112 is a wasteful number, since it uses less digits than its factorization.

1220213112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33092 (or 33088 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1220213112 is about 34931.5489493380. The cubic root of 1220213112 is about 1068.5919441516.

Adding to 1220213112 its reverse (2113120221), we get a palindrome (3333333333).

The spelling of 1220213112 in words is "one billion, two hundred twenty million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 67 69 92 134 138 184 201 268 276 402 536 552 804 1541 1608 3082 4623 6164 9246 12328 18492 32993 36984 65986 98979 131972 197958 263944 395916 758839 791832 1517678 2210531 2276517 3035356 4421062 4553034 6070712 6631593 8842124 9106068 13263186 17684248 18212136 26526372 50842213 53052744 101684426 152526639 203368852 305053278 406737704 610106556 1220213112