[go: up one dir, main page]

Search a number
-
+
1220113230 = 235722928621
BaseRepresentation
bin100100010111001…
…0111001101001110
310011000212011200220
41020232113031032
54444322110410
6321023132210
742143535300
oct11056271516
93130764626
101220113230
115767a4146
122a0744066
13165a172bb
14b8087970
15721b0070
hex48b9734e

1220113230 has 96 divisors (see below), whose sum is σ = 3523940640. Its totient is φ = 269256960.

The previous prime is 1220113199. The next prime is 1220113243. The reversal of 1220113230 is 323110221.

1220113230 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 28320 + ... + 56940.

It is an arithmetic number, because the mean of its divisors is an integer number (36707715).

Almost surely, 21220113230 is an apocalyptic number.

1220113230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220113230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761970320).

1220113230 is an abundant number, since it is smaller than the sum of its proper divisors (2303827410).

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

1220113230 is a wasteful number, since it uses less digits than its factorization.

1220113230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28674 (or 28667 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1220113230 is about 34930.1192382734. The cubic root of 1220113230 is about 1068.5627863998.

Adding to 1220113230 its reverse (323110221), we get a palindrome (1543223451).

The spelling of 1220113230 in words is "one billion, two hundred twenty million, one hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 49 58 70 87 98 105 145 147 174 203 210 245 290 294 406 435 490 609 735 870 1015 1218 1421 1470 2030 2842 3045 4263 6090 7105 8526 14210 21315 28621 42630 57242 85863 143105 171726 200347 286210 400694 429315 601041 830009 858630 1001735 1202082 1402429 1660018 2003470 2490027 2804858 3005205 4150045 4207287 4980054 5810063 6010410 7012145 8300090 8414574 11620126 12450135 14024290 17430189 21036435 24900270 29050315 34860378 40670441 42072870 58100630 81340882 87150945 122011323 174301890 203352205 244022646 406704410 610056615 1220113230