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150550224 = 243111943349
BaseRepresentation
bin10001111100100…
…11011011010000
3101111021202002020
420332103123100
5302020101344
622534451440
73505440636
oct1076233320
9344252066
10150550224
1177a88680
1242503b80
1325262496
1415dcd356
15d33c719
hex8f936d0

150550224 has 160 divisors (see below), whose sum is σ = 458304000. Its totient is φ = 42094080.

The previous prime is 150550219. The next prime is 150550271. The reversal of 150550224 is 422055051.

It is a happy number.

150550224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 150550194 and 150550203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431202 + ... + 431550.

It is an arithmetic number, because the mean of its divisors is an integer number (2864400).

Almost surely, 2150550224 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 150550224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229152000).

150550224 is an abundant number, since it is smaller than the sum of its proper divisors (307753776).

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

150550224 is a wasteful number, since it uses less digits than its factorization.

150550224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 150550224 is about 12269.8909530607. The cubic root of 150550224 is about 531.9781587882.

The spelling of 150550224 in words is "one hundred fifty million, five hundred fifty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 43 44 48 57 66 76 86 88 114 129 132 152 172 176 209 228 258 264 304 344 349 418 456 473 516 528 627 688 698 817 836 912 946 1032 1047 1254 1396 1419 1634 1672 1892 2064 2094 2451 2508 2792 2838 3268 3344 3784 3839 4188 4902 5016 5584 5676 6536 6631 7568 7678 8376 8987 9804 10032 11352 11517 13072 13262 15007 15356 16752 17974 19608 19893 22704 23034 26524 26961 30014 30712 35948 39216 39786 45021 46068 53048 53922 60028 61424 71896 72941 79572 90042 92136 106096 107844 120056 143792 145882 159144 165077 180084 184272 215688 218823 240112 285133 291764 318288 330154 360168 431376 437646 495231 570266 583528 660308 720336 855399 875292 990462 1140532 1167056 1320616 1710798 1750584 1980924 2281064 2641232 3136463 3421596 3501168 3961848 4562128 6272926 6843192 7923696 9409389 12545852 13686384 18818778 25091704 37637556 50183408 75275112 150550224