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2143222400 = 27521160887
BaseRepresentation
bin111111110111110…
…1111101010000000
312112100211222102102
41333233233222000
513342131104100
6552400405532
7104053042544
oct17757575200
95470758372
102143222400
119aa87a790
124b99168a8
13282042347
141648dba24
15c8253cd5
hex7fbefa80

2143222400 has 96 divisors (see below), whose sum is σ = 5775835680. Its totient is φ = 779340800.

The previous prime is 2143222391. The next prime is 2143222421. The reversal of 2143222400 is 42223412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4757 + ... + 65643.

It is an arithmetic number, because the mean of its divisors is an integer number (60164955).

Almost surely, 22143222400 is an apocalyptic number.

2143222400 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 2143222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887917840).

2143222400 is an abundant number, since it is smaller than the sum of its proper divisors (3632613280).

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

2143222400 is a wasteful number, since it uses less digits than its factorization.

2143222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60922 (or 60905 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2143222400 is about 46294.9500485744. The cubic root of 2143222400 is about 1289.3052365244.

Adding to 2143222400 its reverse (42223412), we get a palindrome (2185445812).

The spelling of 2143222400 in words is "two billion, one hundred forty-three million, two hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 275 320 352 400 440 550 640 704 800 880 1100 1408 1600 1760 2200 3200 3520 4400 7040 8800 17600 35200 60887 121774 243548 304435 487096 608870 669757 974192 1217740 1339514 1522175 1948384 2435480 2679028 3044350 3348785 3896768 4870960 5358056 6088700 6697570 7793536 9741920 10716112 12177400 13395140 16743925 19483840 21432224 24354800 26790280 33487850 38967680 42864448 48709600 53580560 66975700 85728896 97419200 107161120 133951400 194838400 214322240 267902800 428644480 535805600 1071611200 2143222400