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106550224 = 24113159331
BaseRepresentation
bin1100101100111…
…01001111010000
321102111022102121
412112131033100
5204234101344
614323424024
72432443024
oct626351720
9242438377
10106550224
1155165840
122b825014
13190c8091
1410218384
15954a684
hex659d3d0

106550224 has 80 divisors (see below), whose sum is σ = 237127680. Its totient is φ = 45936000.

The previous prime is 106550221. The next prime is 106550251. The reversal of 106550224 is 422055601.

106550224 = T1467 + T1468 + ... + T1559.

It is a super-2 number, since 2×1065502242 = 22705900468900352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106550221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321739 + ... + 322069.

It is an arithmetic number, because the mean of its divisors is an integer number (2964096).

Almost surely, 2106550224 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 106550224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118563840).

106550224 is an abundant number, since it is smaller than the sum of its proper divisors (130577456).

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

106550224 is a wasteful number, since it uses less digits than its factorization.

106550224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 106550224 is about 10322.3167942086. The cubic root of 106550224 is about 474.0798052054.

The spelling of 106550224 in words is "one hundred six million, five hundred fifty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 44 59 62 88 118 124 176 236 248 331 341 472 496 649 662 682 944 1298 1324 1364 1829 2596 2648 2728 3641 3658 5192 5296 5456 7282 7316 10261 10384 14564 14632 19529 20119 20522 29128 29264 39058 40238 41044 58256 78116 80476 82088 112871 156232 160952 164176 214819 225742 312464 321904 429638 451484 605399 859276 902968 1210798 1718552 1805936 2421596 3437104 4843192 6659389 9686384 13318778 26637556 53275112 106550224