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1226448 = 243317167
BaseRepresentation
bin100101011011011010000
32022022101000
410223123100
5303221243
642142000
713265436
oct4533320
92268330
101226448
117684a3
124b1900
1333c312
1423cd56
151935d3
hex12b6d0

1226448 has 80 divisors (see below), whose sum is σ = 3749760. Its totient is φ = 382464.

The previous prime is 1226417. The next prime is 1226461. The reversal of 1226448 is 8446221.

1226448 is a `hidden beast` number, since 12 + 2 + 644 + 8 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

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, 7261 + ... + 7427.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

21226448 is an apocalyptic number.

1226448 is a gapful number since it is divisible by the number (18) 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 1226448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874880).

1226448 is an abundant number, since it is smaller than the sum of its proper divisors (2523312).

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

1226448 is a wasteful number, since it uses less digits than its factorization.

1226448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 1226448 is about 1107.4511275898. The cubic root of 1226448 is about 107.0408904187.

The spelling of 1226448 in words is "one million, two hundred twenty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 167 204 216 272 306 334 408 432 459 501 612 668 816 918 1002 1224 1336 1503 1836 2004 2448 2672 2839 3006 3672 4008 4509 5678 6012 7344 8016 8517 9018 11356 12024 17034 18036 22712 24048 25551 34068 36072 45424 51102 68136 72144 76653 102204 136272 153306 204408 306612 408816 613224 1226448