Search a number
-
+
1216355250 = 235311612417
BaseRepresentation
bin100100010000000…
…0001101110110010
310010202210020201110
41020200001232302
54442341332000
6320410414150
742066564135
oct11040015662
93122706643
101216355250
11574667780
1229b431356
13164ccc946
14b778a21c
1571bbb850
hex48801bb2

1216355250 has 128 divisors (see below), whose sum is σ = 3367713024. Its totient is φ = 289920000.

The previous prime is 1216355249. The next prime is 1216355251. The reversal of 1216355250 is 525536121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1216355249) and next prime (1216355251).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1216355251) 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 63 ways as a sum of consecutive naturals, for example, 502042 + ... + 504458.

It is an arithmetic number, because the mean of its divisors is an integer number (26310258).

Almost surely, 21216355250 is an apocalyptic number.

1216355250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216355250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683856512).

1216355250 is an abundant number, since it is smaller than the sum of its proper divisors (2151357774).

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

1216355250 is a wasteful number, since it uses less digits than its factorization.

1216355250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 1216355250 is about 34876.2849225659. The cubic root of 1216355250 is about 1067.4645912198.

The spelling of 1216355250 in words is "one billion, two hundred sixteen million, three hundred fifty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 61 66 75 110 122 125 150 165 183 250 275 305 330 366 375 550 610 671 750 825 915 1342 1375 1525 1650 1830 2013 2417 2750 3050 3355 4026 4125 4575 4834 6710 7251 7625 8250 9150 10065 12085 14502 15250 16775 20130 22875 24170 26587 33550 36255 45750 50325 53174 60425 72510 79761 83875 100650 120850 132935 147437 159522 167750 181275 251625 265870 294874 302125 362550 398805 442311 503250 604250 664675 737185 797610 884622 906375 1329350 1474370 1621807 1812750 1994025 2211555 3243614 3323375 3685925 3988050 4423110 4865421 6646750 7371850 8109035 9730842 9970125 11057775 16218070 18429625 19940250 22115550 24327105 36859250 40545175 48654210 55288875 81090350 110577750 121635525 202725875 243271050 405451750 608177625 1216355250