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1022214020 = 225349146449
BaseRepresentation
bin111100111011011…
…011111110000100
32122020110212000112
4330323123332010
54043141322040
6245233332152
734221450542
oct7473337604
92566425015
101022214020
11485016583
12246407058
13133a17289
1499a90d92
155eb1d365
hex3cedbf84

1022214020 has 24 divisors (see below), whose sum is σ = 2152815000. Its totient is φ = 407711232.

The previous prime is 1022214019. The next prime is 1022214049. The reversal of 1022214020 is 204122201.

It can be written as a sum of positive squares in 4 ways, for example, as 286828096 + 735385924 = 16936^2 + 27118^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1022213986 and 1022214004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66245 + ... + 80204.

It is an arithmetic number, because the mean of its divisors is an integer number (89700625).

Almost surely, 21022214020 is an apocalyptic number.

1022214020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022214020 is an abundant number, since it is smaller than the sum of its proper divisors (1130600980).

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

1022214020 is a wasteful number, since it uses less digits than its factorization.

1022214020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146807 (or 146805 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1022214020 is about 31972.0818840438. The cubic root of 1022214020 is about 1007.3505109395.

Adding to 1022214020 its reverse (204122201), we get a palindrome (1226336221).

It can be divided in two parts, 10222 and 14020, that added together give a palindrome (24242).

The spelling of 1022214020 in words is "one billion, twenty-two million, two hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 349 698 1396 1745 3490 6980 146449 292898 585796 732245 1464490 2928980 51110701 102221402 204442804 255553505 511107010 1022214020