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1226106644 = 227431039887
BaseRepresentation
bin100100100010100…
…1110011100010100
310011110010200010012
41021011032130110
510002340403034
6321355415352
742245506640
oct11105163424
93143120105
101226106644
1157a118084
122a2754558
131670352b9
14b8ba7c20
1572995cce
hex4914e714

1226106644 has 48 divisors (see below), whose sum is σ = 2533859328. Its totient is φ = 508219488.

The previous prime is 1226106643. The next prime is 1226106653. The reversal of 1226106644 is 4466016221.

It is a self number, because there is not a number n which added to its sum of digits gives 1226106644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226106643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119069 + ... + 128955.

It is an arithmetic number, because the mean of its divisors is an integer number (52788736).

Almost surely, 21226106644 is an apocalyptic number.

1226106644 is a gapful number since it is divisible by the number (14) 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 1226106644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266929664).

1226106644 is an abundant number, since it is smaller than the sum of its proper divisors (1307752684).

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

1226106644 is a wasteful number, since it uses less digits than its factorization.

1226106644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10044 (or 10042 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 1226106644 is about 35015.8056311718. The cubic root of 1226106644 is about 1070.3095863720.

The spelling of 1226106644 in words is "one billion, two hundred twenty-six million, one hundred six thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 43 86 103 172 206 301 412 602 721 1204 1442 2884 4429 8858 9887 17716 19774 31003 39548 62006 69209 124012 138418 276836 425141 850282 1018361 1700564 2036722 2975987 4073444 5951974 7128527 11903948 14257054 28514108 43789523 87579046 175158092 306526661 613053322 1226106644