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1209012220 = 225135478501
BaseRepresentation
bin100100000010000…
…0000111111111100
310010020222011222101
41020010000333330
54434001342340
6315545154444
741650301653
oct11004007774
93106864871
101209012220
11570501859
12298a8ba24
1316362b560
14b67d819a
157121ac9a
hex48100ffc

1209012220 has 48 divisors (see below), whose sum is σ = 2739548448. Its totient is φ = 445536000.

The previous prime is 1209012191. The next prime is 1209012251. The reversal of 1209012220 is 222109021.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 137970 + ... + 146470.

It is an arithmetic number, because the mean of its divisors is an integer number (57073926).

Almost surely, 21209012220 is an apocalyptic number.

1209012220 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 1209012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369774224).

1209012220 is an abundant number, since it is smaller than the sum of its proper divisors (1530536228).

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

1209012220 is a wasteful number, since it uses less digits than its factorization.

1209012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9070 (or 9068 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1209012220 is about 34770.8530237612. The cubic root of 1209012220 is about 1065.3121907250.

It can be divided in two parts, 12090 and 12220, that added together give a triangular number (24310 = T220).

The spelling of 1209012220 in words is "one billion, two hundred nine million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 547 1094 2188 2735 5470 7111 8501 10940 14222 17002 28444 34004 35555 42505 71110 85010 110513 142220 170020 221026 442052 552565 1105130 2210260 4650047 9300094 18600188 23250235 46500470 60450611 93000940 120901222 241802444 302253055 604506110 1209012220