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1220132214 = 23375715653
BaseRepresentation
bin100100010111001…
…1011110101110110
310011000220010202000
41020232123311312
54444323212324
6321023400130
742143644530
oct11056336566
93130803660
101220132214
11576807434
122a0753046
13165a22b32
14b8090850
15721b59c9
hex48b9bd76

1220132214 has 64 divisors (see below), whose sum is σ = 3104724480. Its totient is φ = 347937120.

The previous prime is 1220132209. The next prime is 1220132219. The reversal of 1220132214 is 4122310221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1220132209) and next prime (1220132219).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220132219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213012 + ... + 218664.

It is an arithmetic number, because the mean of its divisors is an integer number (48511320).

Almost surely, 21220132214 is an apocalyptic number.

1220132214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220132214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552362240).

1220132214 is an abundant number, since it is smaller than the sum of its proper divisors (1884592266).

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

1220132214 is a wasteful number, since it uses less digits than its factorization.

1220132214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6242 (or 6236 counting only the distinct ones).

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

The square root of 1220132214 is about 34930.3909797758. The cubic root of 1220132214 is about 1068.5683283693.

Adding to 1220132214 its reverse (4122310221), we get a palindrome (5342442435).

The spelling of 1220132214 in words is "one billion, two hundred twenty million, one hundred thirty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 571 1142 1713 3426 3997 5139 5653 7994 10278 11306 11991 15417 16959 23982 30834 33918 35973 39571 50877 71946 79142 101754 107919 118713 152631 215838 237426 305262 356139 712278 1068417 2136834 3227863 6455726 9683589 19367178 22595041 29050767 45190082 58101534 67785123 87152301 135570246 174304602 203355369 406710738 610066107 1220132214