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1226200456 = 231322573529
BaseRepresentation
bin100100100010110…
…0101010110001000
310011110022102210201
41021011211112020
510002401403311
6321401421544
742246350305
oct11105452610
93143272721
101226200456
1157a181608
122a279a8b4
13167068c00
14b8bd00ac
15729b39c1
hex49165588

1226200456 has 48 divisors (see below), whose sum is σ = 2499981300. Its totient is φ = 563576832.

The previous prime is 1226200447. The next prime is 1226200457. The reversal of 1226200456 is 6540026221.

It can be written as a sum of positive squares in 6 ways, for example, as 269288100 + 956912356 = 16410^2 + 30934^2 .

It is not an unprimeable number, because it can be changed into a prime (1226200457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345700 + ... + 349228.

Almost surely, 21226200456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226200456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249990650).

1226200456 is an abundant number, since it is smaller than the sum of its proper divisors (1273780844).

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

1226200456 is a wasteful number, since it uses less digits than its factorization.

1226200456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3818 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1226200456 is about 35017.1451720439. The cubic root of 1226200456 is about 1070.3368828889.

Adding to 1226200456 its reverse (6540026221), we get a palindrome (7766226677).

The spelling of 1226200456 in words is "one billion, two hundred twenty-six million, two hundred thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 104 169 257 338 514 676 1028 1352 2056 3341 3529 6682 7058 13364 14116 26728 28232 43433 45877 86866 91754 173732 183508 347464 367016 596401 906953 1192802 1813906 2385604 3627812 4771208 7255624 11790389 23580778 47161556 94323112 153275057 306550114 613100228 1226200456