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2292870840 = 2335135472687
BaseRepresentation
bin1000100010101010…
…0110111010111000
312220210102220111020
42020222212322320
514143433331330
61015304102440
7110551036431
oct21052467270
95823386436
102292870840
11a772a1887
1253ba64a20
132a704a210
1417a734488
15d6464210
hex88aa6eb8

2292870840 has 128 divisors (see below), whose sum is σ = 7424040960. Its totient is φ = 563157504.

The previous prime is 2292870821. The next prime is 2292870857. The reversal of 2292870840 is 480782922.

It is a junction number, because it is equal to n+sod(n) for n = 2292870792 and 2292870801.

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, 851977 + ... + 854663.

It is an arithmetic number, because the mean of its divisors is an integer number (58000320).

Almost surely, 22292870840 is an apocalyptic number.

2292870840 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 2292870840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712020480).

2292870840 is an abundant number, since it is smaller than the sum of its proper divisors (5131170120).

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

2292870840 is a wasteful number, since it uses less digits than its factorization.

2292870840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 2292870840 is about 47883.9309163314. The cubic root of 2292870840 is about 1318.6408645937.

The spelling of 2292870840 in words is "two billion, two hundred ninety-two million, eight hundred seventy thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 547 780 1094 1560 1641 2188 2687 2735 3282 4376 5374 5470 6564 7111 8061 8205 10748 10940 13128 13435 14222 16122 16410 21333 21496 21880 26870 28444 32244 32820 34931 35555 40305 42666 53740 56888 64488 65640 69862 71110 80610 85332 104793 106665 107480 139724 142220 161220 170664 174655 209586 213330 279448 284440 322440 349310 419172 426660 523965 698620 838344 853320 1047930 1397240 1469789 2095860 2939578 4191720 4409367 5879156 7348945 8818734 11758312 14697890 17637468 19107257 22046835 29395780 35274936 38214514 44093670 57321771 58791560 76429028 88187340 95536285 114643542 152858056 176374680 191072570 229287084 286608855 382145140 458574168 573217710 764290280 1146435420 2292870840