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221655556672 = 26111013538831
BaseRepresentation
bin1100111001101110110…
…0110110001001000000
3210012010120000221112221
43032123230312021000
512112422310303142
6245454355500424
722004555100514
oct3163354661100
9705116027487
10221655556672
1186004868480
1236b5bbb7714
1317b959b2234
14aa2a200144
155b74715767
hex339bb36240

221655556672 has 112 divisors (see below), whose sum is σ = 486012524544. Its totient is φ = 99461120000.

The previous prime is 221655556663. The next prime is 221655556693. The reversal of 221655556672 is 276655556122.

221655556672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 25095297 + ... + 25104127.

Almost surely, 2221655556672 is an apocalyptic number.

221655556672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221655556672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243006262272).

221655556672 is an abundant number, since it is smaller than the sum of its proper divisors (264356967872).

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

221655556672 is a wasteful number, since it uses less digits than its factorization.

221655556672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9308 (or 9298 counting only the distinct ones).

The product of its digits is 7560000, while the sum is 52.

The spelling of 221655556672 in words is "two hundred twenty-one billion, six hundred fifty-five million, five hundred fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 176 202 352 353 404 704 706 808 1111 1412 1616 2222 2824 3232 3883 4444 5648 6464 7766 8831 8888 11296 15532 17662 17776 22592 31064 35324 35552 35653 62128 70648 71104 71306 97141 124256 141296 142612 194282 248512 282592 285224 388564 392183 565184 570448 777128 784366 891931 1140896 1554256 1568732 1783862 2281792 3108512 3117343 3137464 3567724 6217024 6234686 6274928 7135448 9811241 12469372 12549856 14270896 19622482 24938744 25099712 28541792 34290773 39244964 49877488 57083584 68581546 78489928 99754976 137163092 156979856 199509952 274326184 313959712 314851643 548652368 627919424 629703286 1097304736 1259406572 2194609472 2518813144 3463368073 5037626288 6926736146 10075252576 13853472292 20150505152 27706944584 55413889168 110827778336 221655556672