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1226120256 = 263214592
BaseRepresentation
bin100100100010101…
…0001110001000000
310011110011100210100
41021011101301000
510002341322011
6321400002400
742245564424
oct11105216100
93143140710
101226120256
1157a127329
122a2760400
1316703b55a
14b8bacb84
1572999d56
hex49151c40

1226120256 has 63 divisors (see below), whose sum is σ = 3516862791. Its totient is φ = 408426624.

The previous prime is 1226120219. The next prime is 1226120263. The reversal of 1226120256 is 6520216221.

The square root of 1226120256 is 35016.

It is a perfect power (a square), and thus also a powerful number.

1226120256 is a `hidden beast` number, since 1 + 22 + 612 + 0 + 25 + 6 = 666.

It is a super-3 number, since 3×12261202563 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 839655 + ... + 841113.

Almost surely, 21226120256 is an apocalyptic number.

1226120256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1226120256 is the 35016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226120256

1226120256 is an abundant number, since it is smaller than the sum of its proper divisors (2290742535).

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

1226120256 is an frugal number, since it uses more digits than its factorization.

1226120256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 1226120256 is about 1070.3135471477.

Adding to 1226120256 its reverse (6520216221), we get a palindrome (7746336477).

The spelling of 1226120256 in words is "one billion, two hundred twenty-six million, one hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1459 2918 4377 5836 8754 11672 13131 17508 23344 26262 35016 46688 52524 70032 93376 105048 140064 210096 280128 420192 840384 2128681 4257362 6386043 8514724 12772086 17029448 19158129 25544172 34058896 38316258 51088344 68117792 76632516 102176688 136235584 153265032 204353376 306530064 408706752 613060128 1226120256