Search a number
-
+
1225014784 = 2971392459
BaseRepresentation
bin100100100000100…
…0011111000000000
310011101002012100221
41021001003320000
510002100433114
6321320152424
742233311450
oct11101037000
93141065327
101225014784
11579541814
122a2308714
13166a42326
14b89a1d60
157282c524
hex49043e00

1225014784 has 80 divisors (see below), whose sum is σ = 2818569600. Its totient is φ = 521017344.

The previous prime is 1225014773. The next prime is 1225014803. The reversal of 1225014784 is 4874105221.

It is a super-2 number, since 2×12250147842 = 3001322442037133312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496947 + ... + 499405.

It is an arithmetic number, because the mean of its divisors is an integer number (35232120).

Almost surely, 21225014784 is an apocalyptic number.

1225014784 is a gapful number since it is divisible by the number (14) 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 1225014784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409284800).

1225014784 is an abundant number, since it is smaller than the sum of its proper divisors (1593554816).

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

1225014784 is an equidigital number, since it uses as much as digits as its factorization.

1225014784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 1225014784 is about 35000.2111993628. The cubic root of 1225014784 is about 1069.9917849545.

The spelling of 1225014784 in words is "one billion, two hundred twenty-five million, fourteen thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 139 224 256 278 448 512 556 896 973 1112 1792 1946 2224 2459 3584 3892 4448 4918 7784 8896 9836 15568 17213 17792 19672 31136 34426 35584 39344 62272 68852 71168 78688 124544 137704 157376 249088 275408 314752 341801 498176 550816 629504 683602 1101632 1259008 1367204 2203264 2392607 2734408 4406528 4785214 5468816 8813056 9570428 10937632 19140856 21875264 38281712 43750528 76563424 87501056 153126848 175002112 306253696 612507392 1225014784