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2240252520 = 2335111799833
BaseRepresentation
bin1000010110000111…
…1000101001101000
312210010102121201120
42011201320221220
514042001040040
61010144215240
7106341555312
oct20541705150
95703377646
102240252520
11a4a622970
1252630a520
1329918610c
141737587b2
15d1a1d7d0
hex85878a68

2240252520 has 128 divisors (see below), whose sum is σ = 7763091840. Its totient is φ = 511139840.

The previous prime is 2240252491. The next prime is 2240252527. The reversal of 2240252520 is 252520422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2240252527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27477 + ... + 72356.

It is an arithmetic number, because the mean of its divisors is an integer number (60649155).

Almost surely, 22240252520 is an apocalyptic number.

2240252520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240252520 is an abundant number, since it is smaller than the sum of its proper divisors (5522839320).

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

2240252520 is a wasteful number, since it uses less digits than its factorization.

2240252520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99875 (or 99871 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 2240252520 is about 47331.3059190215. The cubic root of 2240252520 is about 1308.4756894699.

Adding to 2240252520 its reverse (252520422), we get a palindrome (2492772942).

The spelling of 2240252520 in words is "two billion, two hundred forty million, two hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 22440 99833 199666 299499 399332 499165 598998 798664 998330 1098163 1197996 1497495 1697161 1996660 2196326 2395992 2994990 3294489 3394322 3993320 4392652 5091483 5490815 5989980 6588978 6788644 8485805 8785304 10182966 10981630 11979960 13177956 13577288 16472445 16971610 18668771 20365932 21963260 25457415 26355912 32944890 33943220 37337542 40731864 43926520 50914830 56006313 65889780 67886440 74675084 93343855 101829660 112012626 131779560 149350168 186687710 203659320 224025252 280031565 373375420 448050504 560063130 746750840 1120126260 2240252520