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220121220424 = 23710152174699
BaseRepresentation
bin1100110100000000111…
…1110100010101001000
3210001011121220120220111
43031000033310111020
512101302013023144
6245042225404104
721621544334140
oct3150017642510
9701147816814
10220121220424
1185397765996
12367b2199634
13179acb5a371
14a92251d920
155ad4b87534
hex33403f4548

220121220424 has 64 divisors (see below), whose sum is σ = 477279216000. Its totient is φ = 93223104000.

The previous prime is 220121220379. The next prime is 220121220433. The reversal of 220121220424 is 424022121022.

It is a junction number, because it is equal to n+sod(n) for n = 220121220395 and 220121220404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2909427 + ... + 2984125.

It is an arithmetic number, because the mean of its divisors is an integer number (7457487750).

Almost surely, 2220121220424 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 220121220424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238639608000).

220121220424 is an abundant number, since it is smaller than the sum of its proper divisors (257157995576).

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

220121220424 is a wasteful number, since it uses less digits than its factorization.

220121220424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75334 (or 75330 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 220121220424 its reverse (424022121022), we get a palindrome (644143341446).

The spelling of 220121220424 in words is "two hundred twenty billion, one hundred twenty-one million, two hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 101 202 404 521 707 808 1042 1414 2084 2828 3647 4168 5656 7294 14588 29176 52621 74699 105242 149398 210484 298796 368347 420968 522893 597592 736694 1045786 1473388 2091572 2946776 4183144 7544599 15089198 30178396 38918179 52812193 60356792 77836358 105624386 155672716 211248772 272427253 311345432 422497544 544854506 1089709012 2179418024 3930736079 7861472158 15722944316 27515152553 31445888632 55030305106 110060610212 220121220424