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151334208 = 2632262733
BaseRepresentation
bin10010000010100…
…10110101000000
3101112202120111200
421001102311000
5302220143313
623003341200
73515214414
oct1101226500
9345676450
10151334208
11784736a3
1242821800
132547828c
1416154d44
15d444b73
hex9052d40

151334208 has 42 divisors (see below), whose sum is σ = 433773834. Its totient is φ = 50444544.

The previous prime is 151334203. The next prime is 151334251. The reversal of 151334208 is 802433151.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 91240704 + 60093504 = 9552^2 + 7752^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151334201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 130791 + ... + 131942.

Almost surely, 2151334208 is an apocalyptic number.

151334208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

151334208 is an abundant number, since it is smaller than the sum of its proper divisors (282439626).

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

151334208 is a wasteful number, since it uses less digits than its factorization.

151334208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262751 (or 262738 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 151334208 is about 12301.7969419106. The cubic root of 151334208 is about 532.8999785327.

Adding to 151334208 its reverse (802433151), we get a palindrome (953767359).

It can be divided in two parts, 1513 and 34208, that added together give a square (35721 = 1892).

The spelling of 151334208 in words is "one hundred fifty-one million, three hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 262733 525466 788199 1050932 1576398 2101864 2364597 3152796 4203728 4729194 6305592 8407456 9458388 12611184 16814912 18916776 25222368 37833552 50444736 75667104 151334208