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221120148 = 223314712647
BaseRepresentation
bin11010010111000…
…00011010010100
3120102002001211010
431023200122110
5423101321043
633535212220
75323330104
oct1513403224
9512061733
10221120148
111038a8927
1262077070
1336a70532
142151d204
151462c133
hexd2e0694

221120148 has 48 divisors (see below), whose sum is σ = 543965184. Its totient is φ = 69805920.

The previous prime is 221120129. The next prime is 221120149. The reversal of 221120148 is 841021122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221120149) 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, 11161 + ... + 23807.

It is an arithmetic number, because the mean of its divisors is an integer number (11332608).

Almost surely, 2221120148 is an apocalyptic number.

It is an amenable number.

221120148 is an abundant number, since it is smaller than the sum of its proper divisors (322845036).

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

221120148 is a wasteful number, since it uses less digits than its factorization.

221120148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12732 (or 12730 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 221120148 is about 14870.1092127798. The cubic root of 221120148 is about 604.7039035578.

The spelling of 221120148 in words is "two hundred twenty-one million, one hundred twenty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 31 47 62 93 94 124 141 186 188 282 372 564 1457 2914 4371 5828 8742 12647 17484 25294 37941 50588 75882 151764 392057 594409 784114 1176171 1188818 1568228 1783227 2352342 2377636 3566454 4704684 7132908 18426679 36853358 55280037 73706716 110560074 221120148