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2213672340 = 22351117197297
BaseRepresentation
bin1000001111110001…
…1111010110010100
312201021102012120110
42003330133112110
514013200003330
61003354403020
7105566622135
oct20374372624
95637365513
102213672340
11a36618880
12519430470
1329380a8b9
1416ddd9c8c
15ce51cdb0
hex83f1f594

2213672340 has 96 divisors (see below), whose sum is σ = 7159549824. Its totient is φ = 505077760.

The previous prime is 2213672339. The next prime is 2213672353. The reversal of 2213672340 is 432763122.

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

It is a junction number, because it is equal to n+sod(n) for n = 2213672298 and 2213672307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87429 + ... + 109868.

It is an arithmetic number, because the mean of its divisors is an integer number (74578644).

Almost surely, 22213672340 is an apocalyptic number.

2213672340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213672340 is an abundant number, since it is smaller than the sum of its proper divisors (4945877484).

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

2213672340 is a wasteful number, since it uses less digits than its factorization.

2213672340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197337 (or 197335 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 2213672340 is about 47049.6794888127. The cubic root of 2213672340 is about 1303.2801465872.

The spelling of 2213672340 in words is "two billion, two hundred thirteen million, six hundred seventy-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 197297 394594 591891 789188 986485 1183782 1972970 2170267 2367564 2959455 3354049 3945940 4340534 5918910 6510801 6708098 8681068 10062147 10851335 11837820 13021602 13416196 16770245 20124294 21702670 26043204 32554005 33540490 36894539 40248588 43405340 50310735 65108010 67080980 73789078 100621470 110683617 130216020 147578156 184472695 201242940 221367234 368945390 442734468 553418085 737890780 1106836170 2213672340