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136150224 = 24372107541
BaseRepresentation
bin10000001110101…
…11110011010000
3100111012010222220
420013113303100
5234323301344
621302101040
73242154300
oct1007276320
9314163886
10136150224
116a942751
123971a780
132228cc82
1414121600
15be45c19
hex81d7cd0

136150224 has 120 divisors (see below), whose sum is σ = 413732448. Its totient is φ = 38465280.

The previous prime is 136150193. The next prime is 136150237. The reversal of 136150224 is 422051631.

136150224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 136150194 and 136150203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251394 + ... + 251934.

Almost surely, 2136150224 is an apocalyptic number.

136150224 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 136150224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206866224).

136150224 is an abundant number, since it is smaller than the sum of its proper divisors (277582224).

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

136150224 is a wasteful number, since it uses less digits than its factorization.

136150224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 136150224 is about 11668.3428129276. The cubic root of 136150224 is about 514.4455956172.

The spelling of 136150224 in words is "one hundred thirty-six million, one hundred fifty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 107 112 147 168 196 214 294 321 336 392 428 541 588 642 749 784 856 1082 1176 1284 1498 1623 1712 2164 2247 2352 2568 2996 3246 3787 4328 4494 5136 5243 5992 6492 7574 8656 8988 10486 11361 11984 12984 15148 15729 17976 20972 22722 25968 26509 30296 31458 35952 41944 45444 53018 57887 60592 62916 79527 83888 90888 106036 115774 125832 159054 173661 181776 212072 231548 251664 318108 347322 405209 424144 463096 636216 694644 810418 926192 1215627 1272432 1389288 1620836 2431254 2778576 2836463 3241672 4862508 5672926 6483344 8509389 9725016 11345852 17018778 19450032 22691704 34037556 45383408 68075112 136150224