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3333222420 = 22351110334889
BaseRepresentation
bin1100011010101100…
…1111000000010100
322121022001020120020
43012223033000110
523311301104140
61310430305140
7145412631423
oct30653170024
98538036506
103333222420
111460576380
127903581b0
13411744c78
142389872ba
151479666d0
hexc6acf014

3333222420 has 96 divisors (see below), whose sum is σ = 10193420160. Its totient is φ = 807106560.

The previous prime is 3333222407. The next prime is 3333222437. The reversal of 3333222420 is 242223333.

It is a happy number.

It is a super-2 number, since 2×33332224202 = 22220743402381312800, which 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, 679336 + ... + 684224.

It is an arithmetic number, because the mean of its divisors is an integer number (106181460).

Almost surely, 23333222420 is an apocalyptic number.

3333222420 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 3333222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096710080).

3333222420 is an abundant number, since it is smaller than the sum of its proper divisors (6860197740).

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

3333222420 is a wasteful number, since it uses less digits than its factorization.

3333222420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5945 (or 5943 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 3333222420 is about 57734.0663733294. The cubic root of 3333222420 is about 1493.7850137507.

Adding to 3333222420 its reverse (242223333), we get a palindrome (3575445753).

The spelling of 3333222420 in words is "three billion, three hundred thirty-three million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1033 2066 3099 4132 4889 5165 6198 9778 10330 11363 12396 14667 15495 19556 20660 22726 24445 29334 30990 34089 45452 48890 53779 56815 58668 61980 68178 73335 97780 107558 113630 136356 146670 161337 170445 215116 227260 268895 293340 322674 340890 537790 645348 681780 806685 1075580 1613370 3226740 5050337 10100674 15151011 20201348 25251685 30302022 50503370 55553707 60604044 75755055 101006740 111107414 151510110 166661121 222214828 277768535 303020220 333322242 555537070 666644484 833305605 1111074140 1666611210 3333222420