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155226940 = 225116710531
BaseRepresentation
bin10010100000010…
…01001100111100
3101211002100022221
421100021030330
5304214230230
623223015124
73563256451
oct1120111474
9354070287
10155226940
117a692330
1243b9a4a4
132620c07b
1416889828
15d96327a
hex940933c

155226940 has 48 divisors (see below), whose sum is σ = 360952704. Its totient is φ = 55598400.

The previous prime is 155226919. The next prime is 155226959. The reversal of 155226940 is 49622551.

It is a happy number.

155226940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 155226896 and 155226905.

It is a congruent number.

It is an unprimeable number.

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, 9475 + ... + 20005.

It is an arithmetic number, because the mean of its divisors is an integer number (7519848).

Almost surely, 2155226940 is an apocalyptic number.

155226940 is a gapful number since it is divisible by the number (10) 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 155226940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180476352).

155226940 is an abundant number, since it is smaller than the sum of its proper divisors (205725764).

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

155226940 is a wasteful number, since it uses less digits than its factorization.

155226940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10618 (or 10616 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 155226940 is about 12459.0103940883. The cubic root of 155226940 is about 537.4305690018.

The spelling of 155226940 in words is "one hundred fifty-five million, two hundred twenty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 670 737 1340 1474 2948 3685 7370 10531 14740 21062 42124 52655 105310 115841 210620 231682 463364 579205 705577 1158410 1411154 2316820 2822308 3527885 7055770 7761347 14111540 15522694 31045388 38806735 77613470 155226940