Search a number
-
+
1225972 = 2211217149
BaseRepresentation
bin100101011010011110100
32022021201101
410223103310
5303212342
642135444
713264156
oct4532364
92267641
101225972
11768100
124b1584
1333c037
1423cad6
151933b7
hex12b4f4

1225972 has 36 divisors (see below), whose sum is σ = 2513700. Its totient is φ = 520960.

The previous prime is 1225963. The next prime is 1225981. The reversal of 1225972 is 2795221.

It is an interprime number because it is at equal distance from previous prime (1225963) and next prime (1225981).

It can be written as a sum of positive squares in 2 ways, for example, as 527076 + 698896 = 726^2 + 836^2 .

It is a d-powerful number, because it can be written as 1 + 23 + 26 + 54 + 95 + 76 + 220 .

It is a self number, because there is not a number n which added to its sum of digits gives 1225972.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8154 + ... + 8302.

It is an arithmetic number, because the mean of its divisors is an integer number (69825).

21225972 is an apocalyptic number.

It is an amenable number.

1225972 is an abundant number, since it is smaller than the sum of its proper divisors (1287728).

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

1225972 is a wasteful number, since it uses less digits than its factorization.

1225972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The square root of 1225972 is about 1107.2361988302. The cubic root of 1225972 is about 107.0270406518.

It can be divided in two parts, 1225 and 972, that added together give a cube (2197 = 133).

The spelling of 1225972 in words is "one million, two hundred twenty-five thousand, nine hundred seventy-two".

Divisors: 1 2 4 11 17 22 34 44 68 121 149 187 242 298 374 484 596 748 1639 2057 2533 3278 4114 5066 6556 8228 10132 18029 27863 36058 55726 72116 111452 306493 612986 1225972