Search a number
-
+
221336016 = 243111922063
BaseRepresentation
bin11010011000101…
…01000111010000
3120102111000221020
431030111013100
5423130223031
633543555440
75325216336
oct1514250720
9512430836
10221336016
11103a36030
126215bb80
1336b17875
1421577b56
1514671096
hexd3151d0

221336016 has 80 divisors (see below), whose sum is σ = 656624640. Its totient is φ = 63538560.

The previous prime is 221335991. The next prime is 221336023. The reversal of 221336016 is 610633122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1000 + ... + 21063.

It is an arithmetic number, because the mean of its divisors is an integer number (8207808).

Almost surely, 2221336016 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 221336016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328312320).

221336016 is an abundant number, since it is smaller than the sum of its proper divisors (435288624).

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

221336016 is a wasteful number, since it uses less digits than its factorization.

221336016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22104 (or 22098 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 221336016 is about 14877.3658958836. The cubic root of 221336016 is about 604.9006197894.

Adding to 221336016 its reverse (610633122), we get a palindrome (831969138).

The spelling of 221336016 in words is "two hundred twenty-one million, three hundred thirty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 22063 44126 66189 88252 132378 176504 242693 264756 353008 419197 485386 529512 728079 838394 970772 1059024 1257591 1456158 1676788 1941544 2515182 2912316 3353576 3883088 4611167 5030364 5824632 6707152 9222334 10060728 11649264 13833501 18444668 20121456 27667002 36889336 55334004 73778672 110668008 221336016