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2231464400 = 245211507151
BaseRepresentation
bin1000010100000001…
…0111000111010000
312202111220010200122
42011000113013100
514032223330100
61005232005412
7106204064054
oct20500270720
95674803618
102231464400
11a45670260
12523390868
132973ca049
1417250bc64
15d0d84985
hex850171d0

2231464400 has 60 divisors (see below), whose sum is σ = 5848476864. Its totient is φ = 811440000.

The previous prime is 2231464399. The next prime is 2231464423. The reversal of 2231464400 is 44641322.

It is a super-3 number, since 3×22314644003 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2231464400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249176 + ... + 257975.

Almost surely, 22231464400 is an apocalyptic number.

2231464400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231464400 is an abundant number, since it is smaller than the sum of its proper divisors (3617012464).

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

2231464400 is a wasteful number, since it uses less digits than its factorization.

2231464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507180 (or 507169 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 2231464400 is about 47238.3784649727. The cubic root of 2231464400 is about 1306.7624733074.

The spelling of 2231464400 in words is "two billion, two hundred thirty-one million, four hundred sixty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 507151 1014302 2028604 2535755 4057208 5071510 5578661 8114416 10143020 11157322 12678775 20286040 22314644 25357550 27893305 40572080 44629288 50715100 55786610 89258576 101430200 111573220 139466525 202860400 223146440 278933050 446292880 557866100 1115732200 2231464400