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109610226 = 233112371113
BaseRepresentation
bin1101000100010…
…00010011110010
321122020202222000
412202020103302
5211030011401
614513154430
72500446225
oct642102362
9248222860
10109610226
1156965870
123085ba16
1319929b2b
14107b35bc
159952186
hex68884f2

109610226 has 128 divisors (see below), whose sum is σ = 283668480. Its totient is φ = 31046400.

The previous prime is 109610213. The next prime is 109610269. The reversal of 109610226 is 622016901.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 109610226.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 969946 + ... + 970058.

It is an arithmetic number, because the mean of its divisors is an integer number (2216160).

Almost surely, 2109610226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109610226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141834240).

109610226 is an abundant number, since it is smaller than the sum of its proper divisors (174058254).

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

109610226 is a wasteful number, since it uses less digits than its factorization.

109610226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 109610226 is about 10469.4902454704. The cubic root of 109610226 is about 478.5753853771.

The spelling of 109610226 in words is "one hundred nine million, six hundred ten thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 71 99 113 138 142 198 207 213 226 253 297 339 414 426 506 594 621 639 678 759 781 1017 1242 1243 1278 1518 1562 1633 1917 2034 2277 2343 2486 2599 3051 3266 3729 3834 4554 4686 4899 5198 6102 6831 7029 7458 7797 8023 9798 11187 13662 14058 14697 15594 16046 17963 21087 22374 23391 24069 28589 29394 33561 35926 42174 44091 46782 48138 53889 57178 67122 70173 72207 85767 88182 88253 107778 140346 144414 161667 171534 176506 184529 216621 257301 264759 323334 369058 433242 485001 514602 529518 553587 771903 794277 970002 1107174 1543806 1588554 1660761 2029819 2382831 3321522 4059638 4765662 4982283 6089457 9964566 12178914 18268371 36536742 54805113 109610226