Search a number
-
+
2132207420 = 22576124093
BaseRepresentation
bin111111100010110…
…1110011100111100
312111121010100201012
41333011232130330
513331321114140
6551324334352
7103560315110
oct17705563474
95447110635
102132207420
119a4636aa2
124b60a43b8
1327c9867c5
14163271740
15c72ca265
hex7f16e73c

2132207420 has 72 divisors (see below), whose sum is σ = 5203834272. Its totient is φ = 718882560.

The previous prime is 2132207411. The next prime is 2132207447. The reversal of 2132207420 is 247022312.

It is a happy number.

It is a congruent number.

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, 518894 + ... + 522986.

It is an arithmetic number, because the mean of its divisors is an integer number (72275476).

Almost surely, 22132207420 is an apocalyptic number.

2132207420 is a gapful number since it is divisible by the number (20) 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 2132207420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601917136).

2132207420 is an abundant number, since it is smaller than the sum of its proper divisors (3071626852).

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

2132207420 is a wasteful number, since it uses less digits than its factorization.

2132207420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4231 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 2132207420 is about 46175.8315572118. The cubic root of 2132207420 is about 1287.0926693352.

Adding to 2132207420 its reverse (247022312), we get a palindrome (2379229732).

The spelling of 2132207420 in words is "two billion, one hundred thirty-two million, two hundred seven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 3721 4093 4270 7442 8186 8540 14884 16372 18605 20465 26047 28651 37210 40930 52094 57302 74420 81860 104188 114604 130235 143255 249673 260470 286510 499346 520940 573020 998692 1248365 1747711 2496730 3495422 4993460 6990844 8738555 15230053 17477110 30460106 34954220 60920212 76150265 106610371 152300530 213220742 304601060 426441484 533051855 1066103710 2132207420