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4226122888 = 23131741173337
BaseRepresentation
bin1111101111100101…
…1000010010001000
3101220112012021201221
43323321120102020
532123341413023
61535204251424
7206504310661
oct37371302210
911815167657
104226122888
111879599749
1299b3a0b74
13524724040
142c13b6368
1519b03e85d
hexfbe58488

4226122888 has 128 divisors (see below), whose sum is σ = 9336993120. Its totient is φ = 1775370240.

The previous prime is 4226122811. The next prime is 4226122891. The reversal of 4226122888 is 8882216224.

4226122888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 140612164 + 4085510724 = 11858^2 + 63918^2 .

It is a super-2 number, since 2×42261228882 = 35720229328954921088, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12540256 + ... + 12540592.

Almost surely, 24226122888 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 4226122888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668496560).

4226122888 is an abundant number, since it is smaller than the sum of its proper divisors (5110870232).

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

4226122888 is a wasteful number, since it uses less digits than its factorization.

4226122888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 583 counting only the distinct ones).

The product of its digits is 196608, while the sum is 43.

The square root of 4226122888 is about 65008.6370261675. The cubic root of 4226122888 is about 1616.7667678172.

The spelling of 4226122888 in words is "four billion, two hundred twenty-six million, one hundred twenty-two thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 13 17 26 34 41 52 68 82 104 136 164 173 221 328 337 346 442 533 674 692 697 884 1066 1348 1384 1394 1768 2132 2249 2696 2788 2941 4264 4381 4498 5576 5729 5882 7093 8762 8996 9061 11458 11764 13817 14186 17524 17992 18122 22916 23528 27634 28372 35048 36244 38233 45832 55268 56744 58301 72488 74477 76466 92209 110536 116602 120581 148954 152932 179621 184418 233204 234889 241162 297908 305864 359242 368836 466408 469778 482324 595816 718484 737672 757913 939556 964648 991117 1436968 1515826 1567553 1879112 1982234 2390341 3031652 3053557 3135106 3964468 4780682 6063304 6107114 6270212 7928936 9561364 12214228 12540424 12884521 19122728 24428456 25769042 31074433 40635797 51538084 62148866 81271594 103076168 124297732 162543188 248595464 325086376 528265361 1056530722 2113061444 4226122888