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1223042000 = 2453738377
BaseRepresentation
bin100100011100110…
…0010001111010000
310011020100222012212
41020321202033100
510001044321000
6321210011252
742210454055
oct11071421720
93136328185
101223042000
11578414614
122a1716b28
131665013bb
14b860b02c
157258cc35
hex48e623d0

1223042000 has 80 divisors (see below), whose sum is σ = 2998184592. Its totient is φ = 482457600.

The previous prime is 1223041987. The next prime is 1223042003. The reversal of 1223042000 is 2403221.

It can be written as a sum of positive squares in 8 ways, for example, as 592630336 + 630411664 = 24344^2 + 25108^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223042003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 141812 + ... + 150188.

Almost surely, 21223042000 is an apocalyptic number.

1223042000 is a gapful number since it is divisible by the number (10) 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 1223042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499092296).

1223042000 is an abundant number, since it is smaller than the sum of its proper divisors (1775142592).

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

1223042000 is an equidigital number, since it uses as much as digits as its factorization.

1223042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8473 (or 8457 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1223042000 is about 34972.0173853325. The cubic root of 1223042000 is about 1069.4170988804.

Adding to 1223042000 its reverse (2403221), we get a palindrome (1225445221).

The spelling of 1223042000 in words is "one billion, two hundred twenty-three million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 730 1000 1168 1460 1825 2000 2920 3650 5840 7300 8377 9125 14600 16754 18250 29200 33508 36500 41885 67016 73000 83770 134032 146000 167540 209425 335080 418850 611521 670160 837700 1047125 1223042 1675400 2094250 2446084 3057605 3350800 4188500 4892168 6115210 8377000 9784336 12230420 15288025 16754000 24460840 30576050 48921680 61152100 76440125 122304200 152880250 244608400 305760500 611521000 1223042000