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2132031220 = 22511101229419
BaseRepresentation
bin111111100010100…
…0011011011110100
312111120210102000021
41333011003123310
513331244444340
6551320454524
7103555652314
oct17705033364
95446712007
102132031220
119a4526680
124b601a444
1327c924547
14163227444
15c7292e4a
hex7f1436f4

2132031220 has 96 divisors (see below), whose sum is σ = 4966012800. Its totient is φ = 762432000.

The previous prime is 2132031179. The next prime is 2132031221. The reversal of 2132031220 is 221302312.

It is a junction number, because it is equal to n+sod(n) for n = 2132031194 and 2132031203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132031221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5088171 + ... + 5088589.

It is an arithmetic number, because the mean of its divisors is an integer number (51729300).

Almost surely, 22132031220 is an apocalyptic number.

2132031220 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 2132031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483006400).

2132031220 is an abundant number, since it is smaller than the sum of its proper divisors (2833981580).

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

2132031220 is a wasteful number, since it uses less digits than its factorization.

2132031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 767 counting only the distinct ones).

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

The square root of 2132031220 is about 46173.9235933010. The cubic root of 2132031220 is about 1287.0572143769.

Adding to 2132031220 its reverse (221302312), we get a palindrome (2353333532).

The spelling of 2132031220 in words is "two billion, one hundred thirty-two million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 229 404 419 458 505 838 916 1010 1111 1145 1676 2020 2095 2222 2290 2519 4190 4444 4580 4609 5038 5555 8380 9218 10076 11110 12595 18436 22220 23045 23129 25190 42319 46090 46258 50380 84638 92180 92516 95951 115645 169276 191902 211595 231290 254419 383804 423190 462580 465509 479755 508838 846380 931018 959510 1017676 1055461 1272095 1862036 1919020 2110922 2327545 2544190 4221844 4655090 5088380 5277305 9310180 9691051 10554610 19382102 21109220 38764204 48455255 96910510 106601561 193821020 213203122 426406244 533007805 1066015610 2132031220