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221440310020304 = 243718118133113969
BaseRepresentation
bin110010010110011000010111…
…000001001000100011010000
31002001001111010221111120002222
4302112120113001020203100
5213011034223331122204
62102544135110000212
764433351212452524
oct6226302701104320
91061044127446088
10221440310020304
1164615343084541
1220a04747946068
1396739685279ab
143c97aa7cb9d84
151a90285da9abe
hexc966170488d0

221440310020304 has 80 divisors (see below), whose sum is σ = 443099069584080. Its totient is φ = 107125689507840.

The previous prime is 221440310020283. The next prime is 221440310020343. The reversal of 221440310020304 is 403020013044122.

It can be written as a sum of positive squares in 8 ways, for example, as 6825427952704 + 214614882067600 = 2612552^2 + 14649740^2 .

It is a congruent number.

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, 1942930232 + ... + 1943044200.

It is an arithmetic number, because the mean of its divisors is an integer number (5538738369801).

Almost surely, 2221440310020304 is an apocalyptic number.

It is an amenable number.

221440310020304 is an abundant number, since it is smaller than the sum of its proper divisors (221658759563776).

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

221440310020304 is a wasteful number, since it uses less digits than its factorization.

221440310020304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132328 (or 132322 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 221440310020304 its reverse (403020013044122), we get a palindrome (624460323064426).

The spelling of 221440310020304 in words is "two hundred twenty-one trillion, four hundred forty billion, three hundred ten million, twenty thousand, three hundred four".

Divisors: 1 2 4 8 16 37 74 148 181 296 362 592 724 1448 2896 6697 13394 18133 26788 36266 53576 72532 107152 113969 145064 227938 290128 455876 670921 911752 1341842 1823504 2683684 3282073 4216853 5367368 6564146 8433706 10734736 13128292 16867412 20628389 26256584 33734824 41256778 52513168 67469648 82513556 121436701 165027112 242873402 330054224 485746804 763250393 971493608 1526500786 1942987216 2066599877 3053001572 4133199754 6106003144 8266399508 12212006288 16532799016 33065598032 76464195449 152928390898 305856781796 374054577737 611713563592 748109155474 1223427127184 1496218310948 2992436621896 5984873243792 13840019376269 27680038752538 55360077505076 110720155010152 221440310020304