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2242141400 = 235289125963
BaseRepresentation
bin1000010110100100…
…0101110011011000
312210020222120210002
42011221011303120
514042442011100
61010252512132
7106363613252
oct20551056330
95706876702
102242141400
11a506a3024
12526a7b648
13299697ab5
14173acacd2
15d1c932d5
hex85a45cd8

2242141400 has 48 divisors (see below), whose sum is σ = 5271593400. Its totient is φ = 886772480.

The previous prime is 2242141393. The next prime is 2242141463. The reversal of 2242141400 is 41412422.

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, 45182 + ... + 80781.

Almost surely, 22242141400 is an apocalyptic number.

2242141400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242141400 is an abundant number, since it is smaller than the sum of its proper divisors (3029452000).

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

2242141400 is a wasteful number, since it uses less digits than its factorization.

2242141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126068 (or 126059 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2242141400 is about 47351.2555271769. The cubic root of 2242141400 is about 1308.8433354130.

Adding to 2242141400 its reverse (41412422), we get a palindrome (2283553822).

The spelling of 2242141400 in words is "two billion, two hundred forty-two million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 890 1780 2225 3560 4450 8900 17800 125963 251926 503852 629815 1007704 1259630 2519260 3149075 5038520 6298150 11210707 12596300 22421414 25192600 44842828 56053535 89685656 112107070 224214140 280267675 448428280 560535350 1121070700 2242141400