Search a number
-
+
20265021224 = 2371759794567
BaseRepresentation
bin10010110111111000…
…111010111100101000
31221022022012202000122
4102313320322330220
5313000321134344
613150513422412
71315120560350
oct226770727450
957268182018
1020265021224
11865a092428
123b1686aa08
131bac579526
14da3591b60
157d916aaee
hex4b7e3af28

20265021224 has 128 divisors (see below), whose sum is σ = 47361024000. Its totient is φ = 7932128256.

The previous prime is 20265021149. The next prime is 20265021229. The reversal of 20265021224 is 42212056202.

It is a junction number, because it is equal to n+sod(n) for n = 20265021193 and 20265021202.

It is not an unprimeable number, because it can be changed into a prime (20265021229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4434989 + ... + 4439555.

It is an arithmetic number, because the mean of its divisors is an integer number (370008000).

Almost surely, 220265021224 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 20265021224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23680512000).

20265021224 is an abundant number, since it is smaller than the sum of its proper divisors (27096002776).

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

20265021224 is a wasteful number, since it uses less digits than its factorization.

20265021224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4735 (or 4731 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 20265021224 its reverse (42212056202), we get a palindrome (62477077426).

The spelling of 20265021224 in words is "twenty billion, two hundred sixty-five million, twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 59 68 79 118 119 136 158 236 238 316 413 472 476 553 632 826 952 1003 1106 1343 1652 2006 2212 2686 3304 4012 4424 4567 4661 5372 7021 8024 9134 9322 9401 10744 14042 18268 18644 18802 28084 31969 32627 36536 37288 37604 56168 63938 65254 75208 77639 79237 127876 130508 155278 158474 255752 261016 269453 310556 316948 360793 538906 543473 554659 621112 633896 721586 1077812 1086946 1109318 1443172 1886171 2155624 2173892 2218636 2525551 2886344 3772342 4347784 4437272 4580701 5051102 6133481 7544684 9161402 10102204 12266962 15089368 18322804 20204408 21286787 24533924 32064907 36645608 42573574 42934367 49067848 64129814 85147148 85868734 128259628 149007509 170294296 171737468 256519256 298015018 343474936 361875379 596030036 723750758 1192060072 1447501516 2533127653 2895003032 5066255306 10132510612 20265021224