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2220301132 = 227229735351
BaseRepresentation
bin1000010001010111…
…0001101101001100
312201201212222120021
42010111301231030
514021344114012
61004152431524
7106010151100
oct20425615514
95651788507
102220301132
11a3a336115
1251b6a85a4
13294cbbb6a
14170c43900
15cedcc007
hex84571b4c

2220301132 has 72 divisors (see below), whose sum is σ = 4740694560. Its totient is φ = 905990400.

The previous prime is 2220301129. The next prime is 2220301147. The reversal of 2220301132 is 2311030222.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412257 + ... + 417607.

It is an arithmetic number, because the mean of its divisors is an integer number (65842980).

Almost surely, 22220301132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220301132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370347280).

2220301132 is an abundant number, since it is smaller than the sum of its proper divisors (2520393428).

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

2220301132 is a wasteful number, since it uses less digits than its factorization.

2220301132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471 (or 5462 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2220301132 is about 47120.0714345808. The cubic root of 2220301132 is about 1304.5797312790.

Adding to 2220301132 its reverse (2311030222), we get a palindrome (4531331354).

The spelling of 2220301132 in words is "two billion, two hundred twenty million, three hundred one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 49 58 73 98 116 146 196 203 292 406 511 812 1022 1421 2044 2117 2842 3577 4234 5351 5684 7154 8468 10702 14308 14819 21404 29638 37457 59276 74914 103733 149828 155179 207466 262199 310358 390623 414932 524398 620716 781246 1048796 1086253 1562492 2172506 2734361 4345012 5468722 7603771 10937444 11328067 15207542 19140527 22656134 30415084 38281054 45312268 76562108 79296469 158592938 317185876 555075283 1110150566 2220301132