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1220134140 = 2232527125013
BaseRepresentation
bin100100010111001…
…1100010011111100
310011000220020101100
41020232130103330
54444323243030
6321023413100
742143653251
oct11056342374
93130806340
101220134140
11576808925
122a0754190
13165a23984
14b8091428
15721b6360
hex48b9c4fc

1220134140 has 72 divisors (see below), whose sum is σ = 3714879168. Its totient is φ = 324155520.

The previous prime is 1220134121. The next prime is 1220134141. The reversal of 1220134140 is 414310221.

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 (1220134141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36274 + ... + 61286.

It is an arithmetic number, because the mean of its divisors is an integer number (51595544).

Almost surely, 21220134140 is an apocalyptic number.

1220134140 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 1220134140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857439584).

1220134140 is an abundant number, since it is smaller than the sum of its proper divisors (2494745028).

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

1220134140 is a wasteful number, since it uses less digits than its factorization.

1220134140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25299 (or 25294 counting only the distinct ones).

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

The square root of 1220134140 is about 34930.4185488809. The cubic root of 1220134140 is about 1068.5688906202.

Adding to 1220134140 its reverse (414310221), we get a palindrome (1634444361).

The spelling of 1220134140 in words is "one billion, two hundred twenty million, one hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 271 542 813 1084 1355 1626 2439 2710 3252 4065 4878 5420 8130 9756 12195 16260 24390 25013 48780 50026 75039 100052 125065 150078 225117 250130 300156 375195 450234 500260 750390 900468 1125585 1500780 2251170 4502340 6778523 13557046 20335569 27114092 33892615 40671138 61006707 67785230 81342276 101677845 122013414 135570460 203355690 244026828 305033535 406711380 610067070 1220134140