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221377328060 = 225723499137777
BaseRepresentation
bin1100111000101100011…
…1011111001110111100
3210011102011111110122112
43032023013133032330
512111340043444220
6245411020233152
721664636145420
oct3161307371674
9704364443575
10221377328060
1185981804179
1236aa299b7b8
1317b50167c15
14aa01296b80
155b5a0a75c5
hex338b1df3bc

221377328060 has 96 divisors (see below), whose sum is σ = 555520896000. Its totient is φ = 72454745088.

The previous prime is 221377327981. The next prime is 221377328063. The reversal of 221377328060 is 60823773122.

It is a junction number, because it is equal to n+sod(n) for n = 221377327999 and 221377328017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221377328063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1537892 + ... + 1675668.

It is an arithmetic number, because the mean of its divisors is an integer number (5786676000).

Almost surely, 2221377328060 is an apocalyptic number.

221377328060 is a gapful number since it is divisible by the number (20) 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 221377328060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277760448000).

221377328060 is an abundant number, since it is smaller than the sum of its proper divisors (334143567940).

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

221377328060 is a wasteful number, since it uses less digits than its factorization.

221377328060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138315 (or 138313 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 221377328060 in words is "two hundred twenty-one billion, three hundred seventy-seven million, three hundred twenty-eight thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 499 644 805 998 1610 1996 2495 3220 3493 4990 6986 9980 11477 13972 17465 22954 34930 45908 57385 69860 80339 114770 137777 160678 229540 275554 321356 401695 551108 688885 803390 964439 1377770 1606780 1928878 2755540 3168871 3857756 4822195 6337742 9644390 12675484 15844355 19288780 22182097 31688710 44364194 63377420 68750723 88728388 110910485 137501446 221820970 275002892 343753615 443641940 481255061 687507230 962510122 1375014460 1581266629 1925020244 2406275305 3162533258 4812550610 6325066516 7906333145 9625101220 11068866403 15812666290 22137732806 31625332580 44275465612 55344332015 110688664030 221377328060