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2164234620 = 2235293140123
BaseRepresentation
bin1000000011111111…
…1001100101111100
312120211101111202210
42000333321211330
513413021001440
6554431020420
7104426455632
oct20077714574
95524344683
102164234620
11a10721559
1250496a710
132864bb402
1416760b352
15ca004a80
hex80ff997c

2164234620 has 96 divisors (see below), whose sum is σ = 6471198720. Its totient is φ = 539239680.

The previous prime is 2164234613. The next prime is 2164234679. The reversal of 2164234620 is 264324612.

It is a super-2 number, since 2×21642346202 = 9367822980813088800, which contains 22 as substring.

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

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, 33879 + ... + 74001.

It is an arithmetic number, because the mean of its divisors is an integer number (67408320).

Almost surely, 22164234620 is an apocalyptic number.

2164234620 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 2164234620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235599360).

2164234620 is an abundant number, since it is smaller than the sum of its proper divisors (4306964100).

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

2164234620 is a wasteful number, since it uses less digits than its factorization.

2164234620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40195 (or 40193 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2164234620 is about 46521.3351055191. The cubic root of 2164234620 is about 1293.5050044615.

The spelling of 2164234620 in words is "two billion, one hundred sixty-four million, two hundred thirty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 31 58 60 62 87 93 116 124 145 155 174 186 290 310 348 372 435 465 580 620 870 899 930 1740 1798 1860 2697 3596 4495 5394 8990 10788 13485 17980 26970 40123 53940 80246 120369 160492 200615 240738 401230 481476 601845 802460 1163567 1203690 1243813 2327134 2407380 2487626 3490701 3731439 4654268 4975252 5817835 6219065 6981402 7462878 11635670 12438130 13962804 14925756 17453505 18657195 23271340 24876260 34907010 36070577 37314390 69814020 72141154 74628780 108211731 144282308 180352885 216423462 360705770 432846924 541058655 721411540 1082117310 2164234620