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1223136 = 253231137
BaseRepresentation
bin100101010100111100000
32022010211100
410222213200
5303120021
642114400
713252665
oct4524740
92263740
101223136
11765a62
124aba00
1333a965
1423ba6c
15192626
hex12a9e0

1223136 has 72 divisors (see below), whose sum is σ = 3616704. Its totient is φ = 391680.

The previous prime is 1223119. The next prime is 1223149. The reversal of 1223136 is 6313221.

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8860 + ... + 8996.

It is an arithmetic number, because the mean of its divisors is an integer number (50232).

21223136 is an apocalyptic number.

1223136 is a gapful number since it is divisible by the number (16) 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 1223136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808352).

1223136 is an abundant number, since it is smaller than the sum of its proper divisors (2393568).

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

1223136 is a wasteful number, since it uses less digits than its factorization.

1223136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 1223136 is about 1105.9547911194. The cubic root of 1223136 is about 106.9444495768.

Adding to 1223136 its reverse (6313221), we get a palindrome (7536357).

The spelling of 1223136 in words is "one million, two hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 137 144 186 248 274 279 288 372 411 496 548 558 744 822 992 1096 1116 1233 1488 1644 2192 2232 2466 2976 3288 4247 4384 4464 4932 6576 8494 8928 9864 12741 13152 16988 19728 25482 33976 38223 39456 50964 67952 76446 101928 135904 152892 203856 305784 407712 611568 1223136