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20432226150 = 23252743150847
BaseRepresentation
bin10011000001110110…
…110000011101100110
31221201221211122001200
4103001312300131212
5313321122214100
613215245303330
71322221025310
oct230166603546
957657748050
1020432226150
118735505a16
123b62864b46
131c080c055b
14dbb8787b0
157e8b97e00
hex4c1db0766

20432226150 has 144 divisors (see below), whose sum is σ = 64196081664. Its totient is φ = 4561583040.

The previous prime is 20432226149. The next prime is 20432226181. The reversal of 20432226150 is 5162223402.

It is a happy number.

20432226150 is a `hidden beast` number, since 2 + 0 + 43 + 2 + 2 + 2 + 615 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60027 + ... + 210873.

Almost surely, 220432226150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20432226150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32098040832).

20432226150 is an abundant number, since it is smaller than the sum of its proper divisors (43763855514).

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

20432226150 is a wasteful number, since it uses less digits than its factorization.

20432226150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150915 (or 150907 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20432226150 its reverse (5162223402), we get a palindrome (25594449552).

The spelling of 20432226150 in words is "twenty billion, four hundred thirty-two million, two hundred twenty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 43 45 50 63 70 75 86 90 105 126 129 150 175 210 215 225 258 301 315 350 387 430 450 525 602 630 645 774 903 1050 1075 1290 1505 1575 1806 1935 2150 2709 3010 3150 3225 3870 4515 5418 6450 7525 9030 9675 13545 15050 19350 22575 27090 45150 67725 135450 150847 301694 452541 754235 905082 1055929 1357623 1508470 2111858 2262705 2715246 3167787 3771175 4525410 5279645 6335574 6486421 6788115 7542350 9503361 10559290 11313525 12972842 13576230 15838935 19006722 19459263 22627050 26398225 31677870 32432105 33940575 38918526 45404947 47516805 52796450 58377789 64864210 67881150 79194675 90809894 95033610 97296315 116755578 136214841 158389350 162160525 194592630 227024735 237584025 272429682 291888945 324321050 408644523 454049470 475168050 486481575 583777890 681074205 817289046 972963150 1135123675 1362148410 1459444725 2043222615 2270247350 2918889450 3405371025 4086445230 6810742050 10216113075 20432226150