Search a number
-
+
33130222320 = 24351382912809
BaseRepresentation
bin11110110110101101…
…110001001011110000
310011111220100200011010
4132312231301023300
51020322314103240
623115251350520
72251666146306
oct366655611360
9104456320133
1033130222320
1113061168428
1265072b2440
13317ca42360
14186406c276
15cdd842280
hex7b6b712f0

33130222320 has 160 divisors (see below), whose sum is σ = 110746036800. Its totient is φ = 8144658432.

The previous prime is 33130222261. The next prime is 33130222379. The reversal of 33130222320 is 2322203133.

It is an interprime number because it is at equal distance from previous prime (33130222261) and next prime (33130222379).

It is a super-2 number, since 2×331302223202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2580076 + ... + 2592884.

It is an arithmetic number, because the mean of its divisors is an integer number (692162730).

Almost surely, 233130222320 is an apocalyptic number.

33130222320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33130222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55373018400).

33130222320 is an abundant number, since it is smaller than the sum of its proper divisors (77615814480).

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

33130222320 is a wasteful number, since it uses less digits than its factorization.

33130222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13667 (or 13661 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 33130222320 its reverse (2322203133), we get a palindrome (35452425453).

The spelling of 33130222320 in words is "thirty-three billion, one hundred thirty million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 829 1040 1560 1658 2487 3120 3316 4145 4974 6632 8290 9948 10777 12435 12809 13264 16580 19896 21554 24870 25618 32331 33160 38427 39792 43108 49740 51236 53885 64045 64662 66320 76854 86216 99480 102472 107770 128090 129324 153708 161655 166517 172432 192135 198960 204944 215540 256180 258648 307416 323310 333034 384270 431080 499551 512360 517296 614832 646620 666068 768540 832585 862160 999102 1024720 1293240 1332136 1537080 1665170 1998204 2497755 2586480 2664272 3074160 3330340 3996408 4995510 6660680 7992816 9991020 10618661 13321360 19982040 21237322 31855983 39964080 42474644 53093305 63711966 84949288 106186610 127423932 138042593 159279915 169898576 212373220 254847864 276085186 318559830 414127779 424746440 509695728 552170372 637119660 690212965 828255558 849492880 1104340744 1274239320 1380425930 1656511116 2070638895 2208681488 2548478640 2760851860 3313022232 4141277790 5521703720 6626044464 8282555580 11043407440 16565111160 33130222320