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122225688 = 233213671949
BaseRepresentation
bin1110100100100…
…00010000011000
322111222201010100
413102100100120
5222242210223
620043415400
73012621054
oct722202030
9274881110
10122225688
1162aa1a72
1234b24560
131c425cc0
1412338c64
15aae5043
hex7490418

122225688 has 96 divisors (see below), whose sum is σ = 361998000. Its totient is φ = 37027584.

The previous prime is 122225687. The next prime is 122225707. The reversal of 122225688 is 886522221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122225681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61738 + ... + 63686.

Almost surely, 2122225688 is an apocalyptic number.

122225688 is a gapful number since it is divisible by the number (18) 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 122225688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180999000).

122225688 is an abundant number, since it is smaller than the sum of its proper divisors (239772312).

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

122225688 is a wasteful number, since it uses less digits than its factorization.

122225688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2034 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 122225688 is about 11055.5727124378. The cubic root of 122225688 is about 496.2732083971.

The spelling of 122225688 in words is "one hundred twenty-two million, two hundred twenty-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 67 72 78 104 117 134 156 201 234 268 312 402 468 536 603 804 871 936 1206 1608 1742 1949 2412 2613 3484 3898 4824 5226 5847 6968 7796 7839 10452 11694 15592 15678 17541 20904 23388 25337 31356 35082 46776 50674 62712 70164 76011 101348 130583 140328 152022 202696 228033 261166 304044 391749 456066 522332 608088 783498 912132 1044664 1175247 1566996 1697579 1824264 2350494 3133992 3395158 4700988 5092737 6790316 9401976 10185474 13580632 15278211 20370948 30556422 40741896 61112844 122225688