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225220034440 = 23517727455579
BaseRepresentation
bin1101000111000000101…
…0001111111110001000
3210112022222020011211001
43101300022033332020
512142222312100230
6251244210544344
722162106464132
oct3216012177610
9715288204731
10225220034440
1187573924375
12377958980b4
131831330598b
14ac87784052
155cd260c0ca
hex347028ff88

225220034440 has 64 divisors (see below), whose sum is σ = 537292828800. Its totient is φ = 84671904768.

The previous prime is 225220034401. The next prime is 225220034441. The reversal of 225220034440 is 44430022522.

It is a super-2 number, since 2×2252200344402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225220034399 and 225220034408.

It is not an unprimeable number, because it can be changed into a prime (225220034441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266571 + ... + 722149.

It is an arithmetic number, because the mean of its divisors is an integer number (8395200450).

Almost surely, 2225220034440 is an apocalyptic number.

225220034440 is a gapful number since it is divisible by the number (20) 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 225220034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268646414400).

225220034440 is an abundant number, since it is smaller than the sum of its proper divisors (312072794360).

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

225220034440 is a wasteful number, since it uses less digits than its factorization.

225220034440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456334 (or 456330 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

Adding to 225220034440 its reverse (44430022522), we get a palindrome (269650056962).

The spelling of 225220034440 in words is "two hundred twenty-five billion, two hundred twenty million, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 727 1454 2908 3635 5816 7270 12359 14540 24718 29080 49436 61795 98872 123590 247180 455579 494360 911158 1822316 2277895 3644632 4555790 7744843 9111580 15489686 18223160 30979372 38724215 61958744 77448430 154896860 309793720 331205933 662411866 1324823732 1656029665 2649647464 3312059330 5630500861 6624118660 11261001722 13248237320 22522003444 28152504305 45044006888 56305008610 112610017220 225220034440