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151530225 = 352711191381
BaseRepresentation
bin10010000100000…
…10101011110001
3101120010112101120
421002002223301
5302242431400
623011452453
73516662040
oct1102025361
9346115346
10151530225
11785979a0
12428b7129
1325516572
14161a6557
15d482ca0
hex9082af1

151530225 has 96 divisors (see below), whose sum is σ = 329026560. Its totient is φ = 59616000.

The previous prime is 151530217. The next prime is 151530227. The reversal of 151530225 is 522035151.

It is a happy number.

It is not a de Polignac number, because 151530225 - 23 = 151530217 is a prime.

It is a super-2 number, since 2×1515302252 = 45922818177101250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 151530195 and 151530204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151530227) 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 95 ways as a sum of consecutive naturals, for example, 109035 + ... + 110415.

It is an arithmetic number, because the mean of its divisors is an integer number (3427360).

Almost surely, 2151530225 is an apocalyptic number.

151530225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

151530225 is an abundant number, since it is smaller than the sum of its proper divisors (177496335).

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

151530225 is a wasteful number, since it uses less digits than its factorization.

151530225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 151530225 is about 12309.7613705547. The cubic root of 151530225 is about 533.1299604363.

Adding to 151530225 its reverse (522035151), we get a palindrome (673565376).

The spelling of 151530225 in words is "one hundred fifty-one million, five hundred thirty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 11 15 19 21 25 33 35 55 57 75 77 95 105 133 165 175 209 231 275 285 385 399 475 525 627 665 825 1045 1155 1381 1425 1463 1925 1995 3135 3325 4143 4389 5225 5775 6905 7315 9667 9975 15191 15675 20715 21945 26239 29001 34525 36575 45573 48335 75955 78717 103575 106337 109725 131195 145005 183673 227865 241675 288629 319011 379775 393585 531685 551019 655975 725025 865887 918365 1139325 1443145 1595055 1967925 2020403 2658425 2755095 4329435 4591825 6061209 7215725 7975275 10102015 13775475 21647175 30306045 50510075 151530225