Search a number
-
+
32221201032 = 23332341158189
BaseRepresentation
bin11110000000100010…
…001000001010001000
310002011112212121101000
4132000202020022020
51011442111413112
622445140055000
72220320455416
oct360042101210
9102145777330
1032221201032
1112735034269
1262b2994460
13306660a737
1417b94442b6
15c88b327dc
hex780888288

32221201032 has 128 divisors (see below), whose sum is σ = 95673312000. Its totient is φ = 10022791680.

The previous prime is 32221201007. The next prime is 32221201037. The reversal of 32221201032 is 23010212223.

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 = 32221200996 and 32221201014.

It is not an unprimeable number, because it can be changed into a prime (32221201037) 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, 124594 + ... + 282782.

It is an arithmetic number, because the mean of its divisors is an integer number (747447750).

Almost surely, 232221201032 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 32221201032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47836656000).

32221201032 is an abundant number, since it is smaller than the sum of its proper divisors (63452110968).

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

32221201032 is a wasteful number, since it uses less digits than its factorization.

32221201032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158268 (or 158258 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 32221201032 its reverse (23010212223), we get a palindrome (55231413255).

The spelling of 32221201032 in words is "thirty-two billion, two hundred twenty-one million, two hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 41 46 54 69 72 82 92 108 123 138 164 184 207 216 246 276 328 369 414 492 552 621 738 828 943 984 1107 1242 1476 1656 1886 2214 2484 2829 2952 3772 4428 4968 5658 7544 8487 8856 11316 16974 22632 25461 33948 50922 67896 101844 158189 203688 316378 474567 632756 949134 1265512 1423701 1898268 2847402 3638347 3796536 4271103 5694804 6485749 7276694 8542206 10915041 11389608 12971498 14553388 17084412 19457247 21830082 25942996 29106776 32745123 34168824 38914494 43660164 51885992 58371741 65490246 77828988 87320328 98235369 116743482 130980492 149172227 155657976 175115223 196470738 233486964 261960984 298344454 350230446 392941476 447516681 466973928 596688908 700460892 785882952 895033362 1193377816 1342550043 1400921784 1790066724 2685100086 3580133448 4027650129 5370200172 8055300258 10740400344 16110600516 32221201032