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2123432220 = 22357132337457
BaseRepresentation
bin111111010010001…
…0000000100011100
312110222121112101210
41332210100010130
513322044312340
6550412304420
7103422606330
oct17644200434
95428545353
102123432220
1199a693068
124b3172110
1327ac03590
141620297c0
15c6645180
hex7e91011c

2123432220 has 384 divisors, whose sum is σ = 7859367936. Its totient is φ = 416047104.

The previous prime is 2123432173. The next prime is 2123432261. The reversal of 2123432220 is 222343212.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 127 ways as a sum of consecutive naturals, for example, 4646232 + ... + 4646688.

It is an arithmetic number, because the mean of its divisors is an integer number (20467104).

Almost surely, 22123432220 is an apocalyptic number.

2123432220 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 2123432220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929683968).

2123432220 is an abundant number, since it is smaller than the sum of its proper divisors (5735935716).

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

2123432220 is a wasteful number, since it uses less digits than its factorization.

2123432220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2123432220 is about 46080.7141871738. The cubic root of 2123432220 is about 1285.3245446909.

Adding to 2123432220 its reverse (222343212), we get a palindrome (2345775432).

The spelling of 2123432220 in words is "two billion, one hundred twenty-three million, four hundred thirty-two thousand, two hundred twenty".