Search a number
-
+
1220253520 = 245137111337
BaseRepresentation
bin100100010111011…
…1001011101010000
310011001010022010211
41020232321131100
54444341103040
6321030133504
742144661303
oct11056713520
93131108124
101220253520
1157688a592
122a07b1294
13165a66105
14b80c2b3a
15721db8ea
hex48bb9750

1220253520 has 40 divisors (see below), whose sum is σ = 2857823784. Its totient is φ = 484534272.

The previous prime is 1220253509. The next prime is 1220253539. The reversal of 1220253520 is 253520221.

It can be written as a sum of positive squares in 4 ways, for example, as 115089984 + 1105163536 = 10728^2 + 33244^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1220253491 and 1220253500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44709 + ... + 66628.

Almost surely, 21220253520 is an apocalyptic number.

1220253520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220253520 is an abundant number, since it is smaller than the sum of its proper divisors (1637570264).

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

1220253520 is a wasteful number, since it uses less digits than its factorization.

1220253520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111487 (or 111481 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 1220253520 is about 34932.1273328722. The cubic root of 1220253520 is about 1068.6037396831.

Adding to 1220253520 its reverse (253520221), we get a palindrome (1473773741).

The spelling of 1220253520 in words is "one billion, two hundred twenty million, two hundred fifty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 111337 222674 445348 556685 890696 1113370 1781392 2226740 4453480 8906960 15253169 30506338 61012676 76265845 122025352 152531690 244050704 305063380 610126760 1220253520