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2082215340 = 2232541282143
BaseRepresentation
bin111110000011100…
…0001010110101100
312101010001111110200
41330013001112230
513231021342330
6542341033500
7102412352442
oct17407012654
95333044420
102082215340
119793a1227
124a13b5890
13272501baa
1415a77ab92
15c2c02a60
hex7c1c15ac

2082215340 has 72 divisors (see below), whose sum is σ = 6470126208. Its totient is φ = 541712640.

The previous prime is 2082215327. The next prime is 2082215353. The reversal of 2082215340 is 435122802.

It is an interprime number because it is at equal distance from previous prime (2082215327) and next prime (2082215353).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133692 + ... + 148451.

It is an arithmetic number, because the mean of its divisors is an integer number (89862864).

Almost surely, 22082215340 is an apocalyptic number.

2082215340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2082215340 is an abundant number, since it is smaller than the sum of its proper divisors (4387910868).

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

2082215340 is a wasteful number, since it uses less digits than its factorization.

2082215340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282199 (or 282194 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2082215340 is about 45631.2978119185. The cubic root of 2082215340 is about 1276.9538854204.

The spelling of 2082215340 in words is "two billion, eighty-two million, two hundred fifteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 282143 564286 846429 1128572 1410715 1692858 2539287 2821430 3385716 4232145 5078574 5642860 8464290 10157148 11567863 12696435 16928580 23135726 25392870 34703589 46271452 50785740 57839315 69407178 104110767 115678630 138814356 173517945 208221534 231357260 347035890 416443068 520553835 694071780 1041107670 2082215340