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2225440020 = 2235109733811
BaseRepresentation
bin1000010010100101…
…1000010100010100
312202002120001210110
42010221120110110
514024203040040
61004454523020
7106101633216
oct20451302424
95662501713
102225440020
11a42226031
12521366470
1329609ac1b
141717c05b6
15d0594980
hex84a58514

2225440020 has 48 divisors (see below), whose sum is σ = 6237096768. Its totient is φ = 592892160.

The previous prime is 2225440013. The next prime is 2225440027. The reversal of 2225440020 is 200445222.

It is an interprime number because it is at equal distance from previous prime (2225440013) and next prime (2225440027).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225440027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48915 + ... + 82725.

It is an arithmetic number, because the mean of its divisors is an integer number (129939516).

Almost surely, 22225440020 is an apocalyptic number.

2225440020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225440020 is an abundant number, since it is smaller than the sum of its proper divisors (4011656748).

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

2225440020 is a wasteful number, since it uses less digits than its factorization.

2225440020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34920 (or 34918 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 2225440020 is about 47174.5696323771. The cubic root of 2225440020 is about 1305.5854392382.

Adding to 2225440020 its reverse (200445222), we get a palindrome (2425885242).

The spelling of 2225440020 in words is "two billion, two hundred twenty-five million, four hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1097 2194 3291 4388 5485 6582 10970 13164 16455 21940 32910 33811 65820 67622 101433 135244 169055 202866 338110 405732 507165 676220 1014330 2028660 37090667 74181334 111272001 148362668 185453335 222544002 370906670 445088004 556360005 741813340 1112720010 2225440020