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2830991220 = 22325131211569
BaseRepresentation
bin1010100010111101…
…0111111101110100
321022022000020212200
42220233113331310
521244213204340
61144525544500
7130104012501
oct25057277564
97268006780
102830991220
111223025672
12670115130
1336168b445
141cbdb04a8
1511880c330
hexa8bd7f74

2830991220 has 144 divisors (see below), whose sum is σ = 8709180480. Its totient is φ = 744307200.

The previous prime is 2830991201. The next prime is 2830991227. The reversal of 2830991220 is 221990382.

It is a super-2 number, since 2×28309912202 = 16029022575434176800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2830991227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4975096 + ... + 4975664.

It is an arithmetic number, because the mean of its divisors is an integer number (60480420).

Almost surely, 22830991220 is an apocalyptic number.

2830991220 is a gapful number since it is divisible by the number (20) 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 2830991220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354590240).

2830991220 is an abundant number, since it is smaller than the sum of its proper divisors (5878189260).

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

2830991220 is a wasteful number, since it uses less digits than its factorization.

2830991220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2830991220 is about 53207.0598699082. The cubic root of 2830991220 is about 1414.6407825100.

The spelling of 2830991220 in words is "two billion, eight hundred thirty million, nine hundred ninety-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 211 262 393 422 524 569 633 655 786 844 1055 1138 1179 1266 1310 1572 1707 1899 1965 2110 2276 2358 2532 2620 2845 3165 3414 3798 3930 4220 4716 5121 5690 5895 6330 6828 7596 7860 8535 9495 10242 11380 11790 12660 17070 18990 20484 23580 25605 27641 34140 37980 51210 55282 74539 82923 102420 110564 120059 138205 149078 165846 223617 240118 248769 276410 298156 331692 360177 372695 414615 447234 480236 497538 552820 600295 670851 720354 745390 829230 894468 995076 1080531 1118085 1200590 1243845 1341702 1440708 1490780 1658460 1800885 2161062 2236170 2401180 2487690 2683404 3354255 3601770 4322124 4472340 4975380 5402655 6708510 7203540 10805310 13417020 15727729 21610620 31455458 47183187 62910916 78638645 94366374 141549561 157277290 188732748 235915935 283099122 314554580 471831870 566198244 707747805 943663740 1415495610 2830991220