Search a number
-
+
151135224 = 23353131907
BaseRepresentation
bin10010000001000…
…10001111111000
3101112101110112220
421000202033320
5302142311344
622555204040
73513425322
oct1100421770
9345343486
10151135224
1178348149
1242746620
1325408836
1416102612
15d405c19
hex90223f8

151135224 has 64 divisors (see below), whose sum is σ = 388333440. Its totient is φ = 48996480.

The previous prime is 151135223. The next prime is 151135241. The reversal of 151135224 is 422531151.

151135224 = T61 + T62 + ... + T967.

It is a happy number.

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 = 151135194 and 151135203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151135223) 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, 166179 + ... + 167085.

It is an arithmetic number, because the mean of its divisors is an integer number (6067710).

Almost surely, 2151135224 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 151135224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194166720).

151135224 is an abundant number, since it is smaller than the sum of its proper divisors (237198216).

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

151135224 is a wasteful number, since it uses less digits than its factorization.

151135224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1096 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 151135224 is about 12293.7066826893. The cubic root of 151135224 is about 532.6663123089. Note that the first 3 decimals are identical.

Adding to 151135224 its reverse (422531151), we get a palindrome (573666375).

The spelling of 151135224 in words is "one hundred fifty-one million, one hundred thirty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 131 159 212 262 318 393 424 524 636 786 907 1048 1272 1572 1814 2721 3144 3628 5442 6943 7256 10884 13886 20829 21768 27772 41658 48071 55544 83316 96142 118817 144213 166632 192284 237634 288426 356451 384568 475268 576852 712902 950536 1153704 1425804 2851608 6297301 12594602 18891903 25189204 37783806 50378408 75567612 151135224