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221019420527444 = 227118344657193603
BaseRepresentation
bin110010010000010000011000…
…000011001000101101010100
31001222120020202102200000001102
4302100100120003020231110
5212432140233123334234
62102022530423245232
764361061165010130
oct6220203003105524
91058506672600042
10221019420527444
116447289aa17a60
12209570648a9818
1396430711569b6
143c8157b64c3c0
151a843505e1c7e
hexc904180c8b54

221019420527444 has 96 divisors (see below), whose sum is σ = 488047569601536. Its totient is φ = 85071630574080.

The previous prime is 221019420527443. The next prime is 221019420527561. The reversal of 221019420527444 is 444725024910122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221019420527443) 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, 1141514747 + ... + 1141708349.

It is an arithmetic number, because the mean of its divisors is an integer number (5083828850016).

Almost surely, 2221019420527444 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 221019420527444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244023784800768).

221019420527444 is an abundant number, since it is smaller than the sum of its proper divisors (267028149074092).

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

221019420527444 is a wasteful number, since it uses less digits than its factorization.

221019420527444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238365 (or 238363 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 47.

The spelling of 221019420527444 in words is "two hundred twenty-one trillion, nineteen billion, four hundred twenty million, five hundred twenty-seven thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 83 154 166 308 332 581 913 1162 1826 2324 3652 6391 12782 25564 44657 89314 178628 193603 312599 387206 491227 625198 774412 982454 1250396 1355221 1964908 2129633 2710442 3438589 3706531 4259266 5420884 6877178 7413062 8518532 13754356 14826124 14907431 16069049 25945717 29814862 32138098 40771841 51891434 59629724 64276196 81543682 103782868 112483343 163087364 176759539 224966686 285402887 353519078 449933372 570805774 707038156 1141611548 1237316773 2474633546 4949267092 8645729171 17291458342 34582916684 60520104197 95103020881 121040208394 190206041762 242080416788 380412083524 665721146167 717595521193 1331442292334 1435191042386 2662884584668 2870382084772 5023168648351 7893550733123 10046337296702 15787101466246 20092674593404 31574202932492 55254855131861 110509710263722 221019420527444