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10226432216 = 23711134131147
BaseRepresentation
bin10011000011000101…
…01111100011011000
3222101200211120201202
421201202233203120
5131420431312331
64410431533332
7511264145120
oct114142574330
928350746652
1010226432216
114378610980
121b9498a248
13c6c89a830
146d0265c80
153ecbd8ecb
hex2618af8d8

10226432216 has 128 divisors (see below), whose sum is σ = 26373634560. Its totient is φ = 3588019200.

The previous prime is 10226432159. The next prime is 10226432219. The reversal of 10226432216 is 61223462201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10226432219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312755 + ... + 343901.

It is an arithmetic number, because the mean of its divisors is an integer number (206044020).

Almost surely, 210226432216 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 10226432216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13186817280).

10226432216 is an abundant number, since it is smaller than the sum of its proper divisors (16147202344).

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

10226432216 is a wasteful number, since it uses less digits than its factorization.

10226432216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31225 (or 31221 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 10226432216 its reverse (61223462201), we get a palindrome (71449894417).

The spelling of 10226432216 in words is "ten billion, two hundred twenty-six million, four hundred thirty-two thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 41 44 52 56 77 82 88 91 104 143 154 164 182 286 287 308 328 364 451 533 572 574 616 728 902 1001 1066 1144 1148 1804 2002 2132 2296 3157 3608 3731 4004 4264 5863 6314 7462 8008 11726 12628 14924 23452 25256 29848 31147 41041 46904 62294 82082 124588 164164 218029 249176 328328 342617 404911 436058 685234 809822 872116 1277027 1370468 1619644 1744232 2398319 2554054 2740936 2834377 3239288 4454021 4796638 5108108 5668754 8908042 8939189 9593276 10216216 11337508 14047297 16601351 17816084 17878378 19186552 22675016 28094594 31178147 33202702 35632168 35756756 56189188 62356294 66405404 71513512 98331079 112378376 116209457 124712588 132810808 182614861 196662158 232418914 249425176 365229722 393324316 464837828 730459444 786648632 929675656 1278304027 1460918888 2556608054 5113216108 10226432216