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12272220 = 22325292351
BaseRepresentation
bin101110110100…
…001001011100
3212002111022200
4232310021130
511120202340
61115011500
7206212032
oct56641134
925074280
1012272220
116a22334
124139b90
132708b8c
1418b6552
151126330
hexbb425c

12272220 has 72 divisors (see below), whose sum is σ = 38525760. Its totient is φ = 3158400.

The previous prime is 12272167. The next prime is 12272231. The reversal of 12272220 is 2227221.

It is a happy number.

12272220 is digitally balanced in base 2 and base 4, because in such bases 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 12272193 and 12272202.

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, 4045 + ... + 6395.

It is an arithmetic number, because the mean of its divisors is an integer number (535080).

Almost surely, 212272220 is an apocalyptic number.

12272220 is a gapful number since it is divisible by the number (10) 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 12272220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).

12272220 is an abundant number, since it is smaller than the sum of its proper divisors (26253540).

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

12272220 is a wasteful number, since it uses less digits than its factorization.

12272220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 12272220 is about 3503.1728475769. The cubic root of 12272220 is about 230.6611098635.

Adding to 12272220 its reverse (2227221), we get a palindrome (14499441).

The spelling of 12272220 in words is "twelve million, two hundred seventy-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2351 2610 4702 5220 7053 9404 11755 14106 21159 23510 28212 35265 42318 47020 68179 70530 84636 105795 136358 141060 204537 211590 272716 340895 409074 423180 613611 681790 818148 1022685 1227222 1363580 2045370 2454444 3068055 4090740 6136110 12272220