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101226664 = 23711214939
BaseRepresentation
bin1100000100010…
…01100010101000
321001110211212201
412002021202220
5201403223124
614013345544
72336261320
oct602114250
9231424781
10101226664
115215a100
1229a982b4
1317c82c46
14d630280
158d48144
hex60898a8

101226664 has 48 divisors (see below), whose sum is σ = 238442400. Its totient is φ = 39436320.

The previous prime is 101226647. The next prime is 101226667. The reversal of 101226664 is 466622101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101226667) 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, 694 + ... + 14245.

It is an arithmetic number, because the mean of its divisors is an integer number (4967550).

Almost surely, 2101226664 is an apocalyptic number.

101226664 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 101226664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119221200).

101226664 is an abundant number, since it is smaller than the sum of its proper divisors (137215736).

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

101226664 is a wasteful number, since it uses less digits than its factorization.

101226664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14974 (or 14959 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 101226664 is about 10061.1462567642. The cubic root of 101226664 is about 466.0490655478.

Adding to 101226664 its reverse (466622101), we get a palindrome (567848765).

The spelling of 101226664 in words is "one hundred one million, two hundred twenty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 847 968 1694 3388 6776 14939 29878 59756 104573 119512 164329 209146 328658 418292 657316 836584 1150303 1314632 1807619 2300606 3615238 4601212 7230476 9202424 12653333 14460952 25306666 50613332 101226664