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150631220 = 225172915277
BaseRepresentation
bin10001111101001…
…11001100110100
3101111102212012002
420332213030310
5302030144340
622540314432
73506226035
oct1076471464
9344385162
10150631220
1178033513
1242542a18
13252902cc
1416010a8c
15d356715
hex8fa7334

150631220 has 48 divisors (see below), whose sum is σ = 346505040. Its totient is φ = 54749184.

The previous prime is 150631207. The next prime is 150631223. The reversal of 150631220 is 22136051.

It can be written as a sum of positive squares in 8 ways, for example, as 3833764 + 146797456 = 1958^2 + 12116^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 150631192 and 150631201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150631223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2222 + ... + 17498.

It is an arithmetic number, because the mean of its divisors is an integer number (7218855).

Almost surely, 2150631220 is an apocalyptic number.

150631220 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 150631220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173252520).

150631220 is an abundant number, since it is smaller than the sum of its proper divisors (195873820).

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

150631220 is a wasteful number, since it uses less digits than its factorization.

150631220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15332 (or 15330 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 150631220 is about 12273.1911090800. The cubic root of 150631220 is about 532.0735430770.

Adding to 150631220 its reverse (22136051), we get a palindrome (172767271).

The spelling of 150631220 in words is "one hundred fifty million, six hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 15277 30554 61108 76385 152770 259709 305540 443033 519418 886066 1038836 1298545 1772132 2215165 2597090 4430330 5194180 7531561 8860660 15063122 30126244 37657805 75315610 150631220