Search a number
-
+
151044224 = 2719173359
BaseRepresentation
bin10010000000011…
…00000010000000
3101112012211201112
421000030002000
5302131403344
622553222452
73512566112
oct1100140200
9345184645
10151044224
1178295841
1242701a28
13253a62a6
14160bb3b2
15d3d8c9e
hex900c080

151044224 has 64 divisors (see below), whose sum is σ = 319464000. Its totient is φ = 70935552.

The previous prime is 151044221. The next prime is 151044233. The reversal of 151044224 is 422440151.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 151044224.

It is not an unprimeable number, because it can be changed into a prime (151044221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420557 + ... + 420915.

It is an arithmetic number, because the mean of its divisors is an integer number (4991625).

Almost surely, 2151044224 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 151044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159732000).

151044224 is an abundant number, since it is smaller than the sum of its proper divisors (168419776).

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

151044224 is a wasteful number, since it uses less digits than its factorization.

151044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 151044224 is about 12290.0050447508. The cubic root of 151044224 is about 532.5593829754.

Adding to 151044224 its reverse (422440151), we get a palindrome (573484375).

The spelling of 151044224 in words is "one hundred fifty-one million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 173 304 346 359 608 692 718 1216 1384 1436 2432 2768 2872 3287 5536 5744 6574 6821 11072 11488 13148 13642 22144 22976 26296 27284 45952 52592 54568 62107 105184 109136 124214 210368 218272 248428 420736 436544 496856 873088 993712 1180033 1987424 2360066 3974848 4720132 7949696 9440264 18880528 37761056 75522112 151044224