Search a number
-
+
1225900 = 2252132341
BaseRepresentation
bin100101011010010101100
32022021121201
410223102230
5303212100
642135244
713264024
oct4532254
92267551
101225900
11768045
124b1524
1333bcb0
1423ca84
1519336a
hex12b4ac

1225900 has 72 divisors (see below), whose sum is σ = 3062304. Its totient is φ = 422400.

The previous prime is 1225897. The next prime is 1225907. The reversal of 1225900 is 95221.

1225900 = T39 + T40 + ... + T194.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29880 + ... + 29920.

It is an arithmetic number, because the mean of its divisors is an integer number (42532).

21225900 is an apocalyptic number.

1225900 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 1225900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531152).

1225900 is an abundant number, since it is smaller than the sum of its proper divisors (1836404).

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

1225900 is a wasteful number, since it uses less digits than its factorization.

1225900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1225900 is about 1107.2036849650. The cubic root of 1225900 is about 107.0249454169.

It can be divided in two parts, 1225 and 900, that multiplied together give a square (1102500 = 10502).

The spelling of 1225900 in words is "one million, two hundred twenty-five thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 41 46 50 52 65 82 92 100 115 130 164 205 230 260 299 325 410 460 533 575 598 650 820 943 1025 1066 1150 1196 1300 1495 1886 2050 2132 2300 2665 2990 3772 4100 4715 5330 5980 7475 9430 10660 12259 13325 14950 18860 23575 24518 26650 29900 47150 49036 53300 61295 94300 122590 245180 306475 612950 1225900