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2145211224 = 2331347146291
BaseRepresentation
bin111111111011101…
…0101001101011000
312112111121000120120
41333313111031120
513343133224344
6552511153240
7104105665062
oct17767251530
95474530516
102145211224
11a00a08a42
124ba515820
1328258a670
14164c98732
15c84e8219
hex7fdd5358

2145211224 has 64 divisors (see below), whose sum is σ = 5898493440. Its totient is φ = 646016640.

The previous prime is 2145211183. The next prime is 2145211231. The reversal of 2145211224 is 4221125412.

It is a super-3 number, since 3×21452112243 (a number of 29 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2145211194 and 2145211203.

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, 58482 + ... + 87809.

It is an arithmetic number, because the mean of its divisors is an integer number (92163960).

Almost surely, 22145211224 is an apocalyptic number.

2145211224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2145211224 is an abundant number, since it is smaller than the sum of its proper divisors (3753282216).

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

2145211224 is a wasteful number, since it uses less digits than its factorization.

2145211224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146360 (or 146356 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 2145211224 is about 46316.4249915729. The cubic root of 2145211224 is about 1289.7039209925.

Adding to 2145211224 its reverse (4221125412), we get a palindrome (6366336636).

The spelling of 2145211224 in words is "two billion, one hundred forty-five million, two hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 188 282 312 376 564 611 1128 1222 1833 2444 3666 4888 7332 14664 146291 292582 438873 585164 877746 1170328 1755492 1901783 3510984 3803566 5705349 6875677 7607132 11410698 13751354 15214264 20627031 22821396 27502708 41254062 45642792 55005416 82508124 89383801 165016248 178767602 268151403 357535204 536302806 715070408 1072605612 2145211224