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1226479968 = 25347232939
BaseRepresentation
bin100100100011010…
…1001100101100000
310011110211122020000
41021012221211200
510002434324333
6321411420000
742251623230
oct11106514540
93143748200
101226479968
1157a35260a
122a28b4600
131671361bc
14b8c63cc0
1572a1b713
hex491a9960

1226479968 has 240 divisors, whose sum is σ = 4303031040. Its totient is φ = 335073024.

The previous prime is 1226479967. The next prime is 1226479973. The reversal of 1226479968 is 8699746221.

It is a super-2 number, since 2×12264799682 = 3008506223810562048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226479967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 415843 + ... + 418781.

It is an arithmetic number, because the mean of its divisors is an integer number (17929296).

Almost surely, 21226479968 is an apocalyptic number.

1226479968 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 1226479968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151515520).

1226479968 is an abundant number, since it is smaller than the sum of its proper divisors (3076551072).

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

1226479968 is a wasteful number, since it uses less digits than its factorization.

1226479968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991 (or 2974 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 1226479968 is about 35021.1360181248. The cubic root of 1226479968 is about 1070.4182043597.

The spelling of 1226479968 in words is "one billion, two hundred twenty-six million, four hundred seventy-nine thousand, nine hundred sixty-eight".