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1224126020 = 225134708177
BaseRepresentation
bin100100011110110…
…1010111001000100
310011022102001012202
41020331222321010
510001334013040
6321245134032
742222620345
oct11075527104
93138361182
101224126020
11578a94aa7
122a1b5a318
131667c0930
14b88100cc
1572704015
hex48f6ae44

1224126020 has 24 divisors (see below), whose sum is σ = 2768408664. Its totient is φ = 451984896.

The previous prime is 1224125999. The next prime is 1224126023. The reversal of 1224126020 is 206214221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 227587396 + 996538624 = 15086^2 + 31568^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1224125983 and 1224126001.

It is not an unprimeable number, because it can be changed into a prime (1224126023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2353829 + ... + 2354348.

It is an arithmetic number, because the mean of its divisors is an integer number (115350361).

Almost surely, 21224126020 is an apocalyptic number.

1224126020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1224126020 is an abundant number, since it is smaller than the sum of its proper divisors (1544282644).

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

1224126020 is a wasteful number, since it uses less digits than its factorization.

1224126020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708199 (or 4708197 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1224126020 is about 34987.5123436920. The cubic root of 1224126020 is about 1069.7329580777.

The spelling of 1224126020 in words is "one billion, two hundred twenty-four million, one hundred twenty-six thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 4708177 9416354 18832708 23540885 47081770 61206301 94163540 122412602 244825204 306031505 612063010 1224126020