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12284220 = 22351315749
BaseRepresentation
bin101110110111…
…000100111100
3212010002210010
4232313010330
511121043340
61115143220
7206262024
oct56670474
925102703
1012284220
116a30353
124144b10
132711490
1418baa84
151129b80
hexbb713c

12284220 has 48 divisors (see below), whose sum is σ = 37044000. Its totient is φ = 3023616.

The previous prime is 12284219. The next prime is 12284243. The reversal of 12284220 is 2248221.

It is a happy number.

It is a super-2 number, since 2×122842202 = 301804122016800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7095 + ... + 8654.

It is an arithmetic number, because the mean of its divisors is an integer number (771750).

Almost surely, 212284220 is an apocalyptic number.

12284220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12284220 is an abundant number, since it is smaller than the sum of its proper divisors (24759780).

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

12284220 is a wasteful number, since it uses less digits than its factorization.

12284220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15774 (or 15772 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 12284220 is about 3504.8851621701. The cubic root of 12284220 is about 230.7362669155.

The spelling of 12284220 in words is "twelve million, two hundred eighty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 15749 31498 47247 62996 78745 94494 157490 188988 204737 236235 314980 409474 472470 614211 818948 944940 1023685 1228422 2047370 2456844 3071055 4094740 6142110 12284220