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2243203146 = 23419770289
BaseRepresentation
bin1000010110110100…
…1001000001001010
312210022222112020000
42011231021001022
514043230000041
61010331343430
7106405624602
oct20555110112
95708875200
102243203146
11a512587a8
125272b1b76
1329997a152
14173cc5c02
15d1e02bb6
hex85b4904a

2243203146 has 40 divisors (see below), whose sum is σ = 5052023460. Its totient is φ = 743928192.

The previous prime is 2243203117. The next prime is 2243203153. The reversal of 2243203146 is 6413023422.

2243203146 is a `hidden beast` number, since 2 + 24 + 320 + 314 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1347697521 + 895505625 = 36711^2 + 29925^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3231 + ... + 67058.

Almost surely, 22243203146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243203146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526011730).

2243203146 is an abundant number, since it is smaller than the sum of its proper divisors (2808820314).

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

2243203146 is a wasteful number, since it uses less digits than its factorization.

2243203146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70500 (or 70491 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2243203146 is about 47362.4655819352. The cubic root of 2243203146 is about 1309.0498998280.

Adding to 2243203146 its reverse (6413023422), we get a palindrome (8656226568).

The spelling of 2243203146 in words is "two billion, two hundred forty-three million, two hundred three thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 197 394 591 1182 1773 3546 5319 10638 15957 31914 70289 140578 210867 421734 632601 1265202 1897803 3795606 5693409 11386818 13846933 27693866 41540799 83081598 124622397 249244794 373867191 747734382 1121601573 2243203146