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2232014420 = 2257383113163
BaseRepresentation
bin1000010100001001…
…1101011001010100
312202112221002011202
42011002131121110
514032343430140
61005251452032
7106211544446
oct20502353124
95675832152
102232014420
11a45a06519
125235b7018
132975604bc
14172612496
15d0e42915
hex8509d654

2232014420 has 96 divisors (see below), whose sum is σ = 4881002112. Its totient is φ = 856977408.

The previous prime is 2232014399. The next prime is 2232014431. The reversal of 2232014420 is 244102322.

It is a super-3 number, since 3×22320144203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2232014392 and 2232014401.

It is a congruent number.

It is an unprimeable number.

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, 13693259 + ... + 13693421.

It is an arithmetic number, because the mean of its divisors is an integer number (50843772).

Almost surely, 22232014420 is an apocalyptic number.

2232014420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232014420 is an abundant number, since it is smaller than the sum of its proper divisors (2648987692).

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

2232014420 is a wasteful number, since it uses less digits than its factorization.

2232014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2232014420 is about 47244.1998556437. The cubic root of 2232014420 is about 1306.8698297816.

Adding to 2232014420 its reverse (244102322), we get a palindrome (2476116742).

The spelling of 2232014420 in words is "two billion, two hundred thirty-two million, fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 73 83 113 146 163 166 226 292 326 332 365 415 452 565 652 730 815 830 1130 1460 1630 1660 2260 3260 6059 8249 9379 11899 12118 13529 16498 18419 18758 23798 24236 27058 30295 32996 36838 37516 41245 46895 47596 54116 59495 60590 67645 73676 82490 92095 93790 118990 121180 135290 164980 184190 187580 237980 270580 368380 684667 987617 1344587 1369334 1528777 1975234 2689174 2738668 3057554 3423335 3950468 4938085 5378348 6115108 6722935 6846670 7643885 9876170 13445870 13693340 15287770 19752340 26891740 30575540 111600721 223201442 446402884 558003605 1116007210 2232014420