Search a number
-
+
1223200240 = 245196712011
BaseRepresentation
bin100100011101000…
…1000110111110000
310011020200000021121
41020322020313300
510001114401430
6321213232024
742212013313
oct11072106760
93136600247
101223200240
11578512499
122a1792614
13166558432
14b864c97a
15725bea7a
hex48e88df0

1223200240 has 80 divisors (see below), whose sum is σ = 3038555520. Its totient is φ = 456572160.

The previous prime is 1223200177. The next prime is 1223200291. The reversal of 1223200240 is 420023221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95835 + ... + 107845.

It is an arithmetic number, because the mean of its divisors is an integer number (37981944).

Almost surely, 21223200240 is an apocalyptic number.

1223200240 is a gapful number since it is divisible by the number (10) 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 1223200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519277760).

1223200240 is an abundant number, since it is smaller than the sum of its proper divisors (1815355280).

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

1223200240 is a wasteful number, since it uses less digits than its factorization.

1223200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12110 (or 12104 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1223200240 is about 34974.2796923682. The cubic root of 1223200240 is about 1069.4632181099.

Adding to 1223200240 its reverse (420023221), we get a palindrome (1643223461).

The spelling of 1223200240 in words is "one billion, two hundred twenty-three million, two hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 67 76 80 95 134 152 190 268 304 335 380 536 670 760 1072 1273 1340 1520 2546 2680 5092 5360 6365 10184 12011 12730 20368 24022 25460 48044 50920 60055 96088 101840 120110 192176 228209 240220 456418 480440 804737 912836 960880 1141045 1609474 1825672 2282090 3218948 3651344 4023685 4564180 6437896 8047370 9128360 12875792 15290003 16094740 18256720 30580006 32189480 61160012 64378960 76450015 122320024 152900030 244640048 305800060 611600120 1223200240