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221460030 = 232511223697
BaseRepresentation
bin11010011001100…
…11011000111110
3120102201100001100
431030303120332
5423143210110
633550353530
75326244031
oct1514633076
9512640040
10221460030
11104010220
12621bb8a6
1336b5c14c
14215ab018
1514697bc0
hexd33363e

221460030 has 48 divisors (see below), whose sum is σ = 628143984. Its totient is φ = 53687040.

The previous prime is 221460017. The next prime is 221460049. The reversal of 221460030 is 30064122.

It is a happy number.

221460030 is a `hidden beast` number, since 22 + 14 + 600 + 30 = 666.

It is a super-3 number, since 3×2214600303 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221459985 and 221460012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110859 + ... + 112838.

It is an arithmetic number, because the mean of its divisors is an integer number (13086333).

Almost surely, 2221460030 is an apocalyptic number.

221460030 is an abundant number, since it is smaller than the sum of its proper divisors (406683954).

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

221460030 is a wasteful number, since it uses less digits than its factorization.

221460030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223721 (or 223718 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 221460030 is about 14881.5331871417. The cubic root of 221460030 is about 605.0135734495.

The spelling of 221460030 in words is "two hundred twenty-one million, four hundred sixty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 223697 447394 671091 1118485 1342182 2013273 2236970 2460667 3355455 4026546 4921334 6710910 7382001 10066365 12303335 14764002 20132730 22146003 24606670 36910005 44292006 73820010 110730015 221460030