Search a number
-
+
1012224420 = 223255623469
BaseRepresentation
bin111100010101010…
…101000110100100
32121112200022212100
4330111111012210
54033112140140
6244235252100
734040523414
oct7425250644
92545608770
101012224420
1147a413209
12242baa030
1313192a37c
1498610644
155dce8530
hex3c5551a4

1012224420 has 36 divisors (see below), whose sum is σ = 3070414620. Its totient is φ = 269926464.

The previous prime is 1012224419. The next prime is 1012224427. The reversal of 1012224420 is 244222101.

1012224420 is a `hidden beast` number, since 1 + 0 + 1 + 222 + 442 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 154554624 + 857669796 = 12432^2 + 29286^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1012224393 and 1012224402.

It is not an unprimeable number, because it can be changed into a prime (1012224427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2811555 + ... + 2811914.

It is an arithmetic number, because the mean of its divisors is an integer number (85289295).

Almost surely, 21012224420 is an apocalyptic number.

1012224420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012224420 is an abundant number, since it is smaller than the sum of its proper divisors (2058190200).

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

1012224420 is a wasteful number, since it uses less digits than its factorization.

1012224420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623484 (or 5623479 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1012224420 is about 31815.4745367722. The cubic root of 1012224420 is about 1004.0583144703.

Adding to 1012224420 its reverse (244222101), we get a palindrome (1256446521).

The spelling of 1012224420 in words is "one billion, twelve million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5623469 11246938 16870407 22493876 28117345 33740814 50611221 56234690 67481628 84352035 101222442 112469380 168704070 202444884 253056105 337408140 506112210 1012224420