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150004224 = 29343617
BaseRepresentation
bin10001111000011…
…10001000000000
3101110021000010000
420330032020000
5301400113344
622515040000
73501005046
oct1074161000
9343230100
10150004224
1177745437
12422a0000
1325100ac6
1415cca396
15d280a69
hex8f0e200

150004224 has 100 divisors (see below), whose sum is σ = 447846894. Its totient is φ = 49987584.

The previous prime is 150004219. The next prime is 150004247. The reversal of 150004224 is 422400051.

It can be written as a sum of positive squares in only one way, i.e., 149817600 + 186624 = 12240^2 + 432^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 150004197 and 150004206.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39664 + ... + 43280.

Almost surely, 2150004224 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 150004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223923447).

150004224 is an abundant number, since it is smaller than the sum of its proper divisors (297842670).

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

150004224 is an frugal number, since it uses more digits than its factorization.

150004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 150004224 is about 12247.6211567798. The cubic root of 150004224 is about 531.3342719554.

Adding to 150004224 its reverse (422400051), we get a palindrome (572404275).

The spelling of 150004224 in words is "one hundred fifty million, four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 3617 4608 5184 6912 7234 10368 10851 13824 14468 20736 21702 28936 32553 41472 43404 57872 65106 86808 97659 115744 130212 173616 195318 231488 260424 292977 347232 390636 462976 520848 585954 694464 781272 925952 1041696 1171908 1388928 1562544 1851904 2083392 2343816 2777856 3125088 4166784 4687632 5555712 6250176 8333568 9375264 12500352 16667136 18750528 25000704 37501056 50001408 75002112 150004224