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221213220 = 22359713797
BaseRepresentation
bin11010010111101…
…11001000100100
3120102020210111020
431023313020210
5423112310340
633541211140
75324165334
oct1513671044
9512223436
10221213220
11103961848
1262100ab0
1336aa39c7
14215450c4
15146499d0
hexd2f7224

221213220 has 48 divisors (see below), whose sum is σ = 620198208. Its totient is φ = 58913920.

The previous prime is 221213183. The next prime is 221213221. The reversal of 221213220 is 22312122.

It is a happy number.

221213220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 221213220.

It is not an unprimeable number, because it can be changed into a prime (221213221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56362 + ... + 60158.

It is an arithmetic number, because the mean of its divisors is an integer number (12920796).

Almost surely, 2221213220 is an apocalyptic number.

221213220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221213220 is an abundant number, since it is smaller than the sum of its proper divisors (398984988).

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

221213220 is a wasteful number, since it uses less digits than its factorization.

221213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780 (or 4778 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 221213220 is about 14873.2383830825. The cubic root of 221213220 is about 604.7887339206.

Adding to 221213220 its reverse (22312122), we get a palindrome (243525342).

The spelling of 221213220 in words is "two hundred twenty-one million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 971 1942 2913 3797 3884 4855 5826 7594 9710 11391 11652 14565 15188 18985 19420 22782 29130 37970 45564 56955 58260 75940 113910 227820 3686887 7373774 11060661 14747548 18434435 22121322 36868870 44242644 55303305 73737740 110606610 221213220