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1226400000 = 28355773
BaseRepresentation
bin100100100011001…
…0110000100000000
310011110200120112020
41021012112010000
510002424300000
6321410001440
742251141130
oct11106260400
93143616466
101226400000
1157a2a8521
122a2876280
13167108997
14b8c42ac0
1572a02ba0
hex49196100

1226400000 has 432 divisors, whose sum is σ = 4726447488. Its totient is φ = 276480000.

The previous prime is 1226399981. The next prime is 1226400001. The reversal of 1226400000 is 46221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1226400001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16799964 + ... + 16800036.

Almost surely, 21226400000 is an apocalyptic number.

1226400000 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 1226400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363223744).

1226400000 is an abundant number, since it is smaller than the sum of its proper divisors (3500047488).

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

1226400000 is an frugal number, since it uses more digits than its factorization.

1226400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1226400000 is about 35019.9942889773. The cubic root of 1226400000 is about 1070.3949396603.

Adding to 1226400000 its reverse (46221), we get a palindrome (1226446221).

The spelling of 1226400000 in words is "one billion, two hundred twenty-six million, four hundred thousand".