Search a number
-
+
1226492928 = 210363153
BaseRepresentation
bin100100100011010…
…1100110000000000
310011110212022000000
41021012230300000
510002440233203
6321412000000
742252006063
oct11106546000
93143768000
101226492928
1157a361321
122a2900000
1316713c07b
14b8c688da
1572a204a3
hex491acc00

1226492928 has 308 divisors, whose sum is σ = 3866177088. Its totient is φ = 388177920.

The previous prime is 1226492887. The next prime is 1226492941. The reversal of 1226492928 is 8292946221.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 23141350 + ... + 23141402.

Almost surely, 21226492928 is an apocalyptic number.

1226492928 is a gapful number since it is divisible by the number (18) 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 1226492928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933088544).

1226492928 is an abundant number, since it is smaller than the sum of its proper divisors (2639684160).

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

1226492928 is an frugal number, since it uses more digits than its factorization.

1226492928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1226492928 is about 35021.3210487554. The cubic root of 1226492928 is about 1070.4219746539.

The spelling of 1226492928 in words is "one billion, two hundred twenty-six million, four hundred ninety-two thousand, nine hundred twenty-eight".