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216101220 = 2235109173191
BaseRepresentation
bin11001110000101…
…11000101100100
3120001122002010220
430320113011210
5420310214340
633235444340
75232554466
oct1470270544
9501562126
10216101220
11100a90055
12604566b0
1335a03c5a
14209b4136
1513e89ed0
hexce17164

216101220 has 96 divisors (see below), whose sum is σ = 617379840. Its totient is φ = 56471040.

The previous prime is 216101219. The next prime is 216101227. The reversal of 216101220 is 22101612.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 216101220.

It is not an unprimeable number, because it can be changed into a prime (216101227) by changing a digit.

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, 1131325 + ... + 1131515.

It is an arithmetic number, because the mean of its divisors is an integer number (6431040).

Almost surely, 2216101220 is an apocalyptic number.

216101220 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 216101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308689920).

216101220 is an abundant number, since it is smaller than the sum of its proper divisors (401278620).

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

216101220 is a wasteful number, since it uses less digits than its factorization.

216101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 216101220 is about 14700.3816276993. The cubic root of 216101220 is about 600.0937075863.

Adding to 216101220 its reverse (22101612), we get a palindrome (238202832).

The spelling of 216101220 in words is "two hundred sixteen million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 173 191 218 327 346 382 436 519 545 573 654 692 764 865 955 1038 1090 1146 1308 1635 1730 1910 2076 2180 2292 2595 2865 3270 3460 3820 5190 5730 6540 10380 11460 18857 20819 33043 37714 41638 56571 62457 66086 75428 83276 94285 99129 104095 113142 124914 132172 165215 188570 198258 208190 226284 249828 282855 312285 330430 377140 396516 416380 495645 565710 624570 660860 991290 1131420 1249140 1982580 3601687 7203374 10805061 14406748 18008435 21610122 36016870 43220244 54025305 72033740 108050610 216101220