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2131222420 = 225440924169
BaseRepresentation
bin111111100000111…
…1101111110010100
312111112021022112201
41333001331332110
513331043104140
6551251254244
7103546043305
oct17701757624
95445238481
102131222420
119a4023a48
124b58aa384
1327c700372
141630967ac
15c718349a
hex7f07df94

2131222420 has 24 divisors (see below), whose sum is σ = 4476767400. Its totient is φ = 852260352.

The previous prime is 2131222411. The next prime is 2131222427. The reversal of 2131222420 is 242221312.

It can be written as a sum of positive squares in 4 ways, for example, as 298183824 + 1833038596 = 17268^2 + 42814^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131222427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76096 + ... + 100264.

It is an arithmetic number, because the mean of its divisors is an integer number (186531975).

Almost surely, 22131222420 is an apocalyptic number.

2131222420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131222420 is an abundant number, since it is smaller than the sum of its proper divisors (2345544980).

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

2131222420 is a wasteful number, since it uses less digits than its factorization.

2131222420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28587 (or 28585 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2131222420 is about 46165.1645724349. The cubic root of 2131222420 is about 1286.8944425991.

Adding to 2131222420 its reverse (242221312), we get a palindrome (2373443732).

The spelling of 2131222420 in words is "two billion, one hundred thirty-one million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 4409 8818 17636 22045 24169 44090 48338 88180 96676 120845 241690 483380 106561121 213122242 426244484 532805605 1065611210 2131222420