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106022224 = 24711471831
BaseRepresentation
bin1100101000111…
…00010101010000
321101111111011001
412110130111100
5204120202344
614304231344
72425113460
oct624342520
9241444131
10106022224
1154935080
122b60b554
1318c71959
141011bba0
159493ed4
hex651c550

106022224 has 80 divisors (see below), whose sum is σ = 261697536. Its totient is φ = 40406400.

The previous prime is 106022221. The next prime is 106022239. The reversal of 106022224 is 422220601.

It is a super-2 number, since 2×1060222242 = 22481423963812352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106022221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 56989 + ... + 58819.

Almost surely, 2106022224 is an apocalyptic number.

106022224 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 106022224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130848768).

106022224 is an abundant number, since it is smaller than the sum of its proper divisors (155675312).

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

106022224 is a wasteful number, since it uses less digits than its factorization.

106022224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 106022224 is about 10296.7093772719. The cubic root of 106022224 is about 473.2954215927.

Adding to 106022224 its reverse (422220601), we get a palindrome (528242825).

The spelling of 106022224 in words is "one hundred six million, twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 47 56 77 88 94 112 154 176 188 308 329 376 517 616 658 752 1034 1232 1316 1831 2068 2632 3619 3662 4136 5264 7238 7324 8272 12817 14476 14648 20141 25634 28952 29296 40282 51268 57904 80564 86057 102536 140987 161128 172114 205072 281974 322256 344228 563948 602399 688456 946627 1127896 1204798 1376912 1893254 2255792 2409596 3786508 4819192 6626389 7573016 9638384 13252778 15146032 26505556 53011112 106022224