Search a number
-
+
216221346 = 233111372657
BaseRepresentation
bin11001110001101…
…00011010100010
3120001212011221000
430320310122202
5420323040341
633242212430
75233564635
oct1470643242
9501764830
10216221346
11101062330
12604b4116
1335a46833
1420a05c1c
1513eb08b6
hexce346a2

216221346 has 64 divisors (see below), whose sum is σ = 528197760. Its totient is φ = 65018880.

The previous prime is 216221323. The next prime is 216221389. The reversal of 216221346 is 643122612.

216221346 is a `hidden beast` number, since 2 + 1 + 622 + 1 + 34 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80050 + ... + 82706.

It is an arithmetic number, because the mean of its divisors is an integer number (8253090).

Almost surely, 2216221346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216221346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264098880).

216221346 is an abundant number, since it is smaller than the sum of its proper divisors (311976414).

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

216221346 is a wasteful number, since it uses less digits than its factorization.

216221346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2810 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 216221346 is about 14704.4668723487. The cubic root of 216221346 is about 600.2048800323.

Adding to 216221346 its reverse (643122612), we get a palindrome (859343958).

The spelling of 216221346 in words is "two hundred sixteen million, two hundred twenty-one thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 137 198 274 297 411 594 822 1233 1507 2466 2657 3014 3699 4521 5314 7398 7971 9042 13563 15942 23913 27126 29227 40689 47826 58454 71739 81378 87681 143478 175362 263043 364009 526086 728018 789129 1092027 1578258 2184054 3276081 4004099 6552162 8008198 9828243 12012297 19656486 24024594 36036891 72073782 108110673 216221346