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1223001000 = 2332531310453
BaseRepresentation
bin100100011100101…
…1000001110101000
310011020021212222100
41020321120032220
510001042013000
6321205053400
742210223404
oct11071301650
93136255870
101223001000
11578396831
122a16b7260
131664b8840
14b85da104
1572580a00
hex48e583a8

1223001000 has 192 divisors, whose sum is σ = 4452149520. Its totient is φ = 301017600.

The previous prime is 1223000981. The next prime is 1223001061. The reversal of 1223001000 is 1003221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 112911876 + 1110089124 = 10626^2 + 33318^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 111774 + ... + 122226.

Almost surely, 21223001000 is an apocalyptic number.

1223001000 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 1223001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226074760).

1223001000 is an abundant number, since it is smaller than the sum of its proper divisors (3229148520).

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

1223001000 is a wasteful number, since it uses less digits than its factorization.

1223001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10493 (or 10476 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1223001000 is about 34971.4311974789. The cubic root of 1223001000 is about 1069.4051487345.

Adding to 1223001000 its reverse (1003221), we get a palindrome (1224004221).

The spelling of 1223001000 in words is "one billion, two hundred twenty-three million, one thousand".