Search a number
-
+
20022538752 = 293237117437
BaseRepresentation
bin10010101001011011…
…111011001000000000
31220200101221100121100
4102221123323020000
5312001232220002
613110452254400
71306114525356
oct225133731000
956611840540
1020022538752
118545223797
123a69611400
131b71269788
14d7d2b17d6
157c2c1e11c
hex4a96fb200

20022538752 has 120 divisors (see below), whose sum is σ = 59348702556. Its totient is φ = 6493741056.

The previous prime is 20022538747. The next prime is 20022538793. The reversal of 20022538752 is 25783522002.

It is a happy number.

20022538752 is a `hidden beast` number, since 2 + 0 + 0 + 225 + 387 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15064125696 + 4958413056 = 122736^2 + 70416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111778 + ... + 229214.

Almost surely, 220022538752 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 20022538752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29674351278).

20022538752 is an abundant number, since it is smaller than the sum of its proper divisors (39326163804).

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

20022538752 is a wasteful number, since it uses less digits than its factorization.

20022538752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117498 (or 117479 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 20022538752 in words is "twenty billion, twenty-two million, five hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1152 1184 1332 1536 1776 2304 2368 2664 3552 4608 4736 5328 7104 9472 10656 14208 18944 21312 28416 42624 56832 85248 117437 170496 234874 352311 469748 704622 939496 1056933 1409244 1878992 2113866 2818488 3757984 4227732 4345169 5636976 7515968 8455464 8690338 11273952 13035507 15031936 16910928 17380676 22547904 26071014 30063872 33821856 34761352 39106521 45095808 52142028 60127744 67643712 69522704 78213042 90191616 104284056 135287424 139045408 156426084 180383232 208568112 270574848 278090816 312852168 417136224 541149696 556181632 625704336 834272448 1112363264 1251408672 1668544896 2224726528 2502817344 3337089792 5005634688 6674179584 10011269376 20022538752