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2870226040 = 2351127124071
BaseRepresentation
bin1010101100010100…
…0010110001111000
321102000211120221011
42223011002301320
521334234213130
61152450523304
7131061342643
oct25305026170
97360746834
102870226040
111243193340
12681296534
13369847906
141d32a4a5a
1511beac52a
hexab142c78

2870226040 has 64 divisors (see below), whose sum is σ = 7071390720. Its totient is φ = 1039824000.

The previous prime is 2870226017. The next prime is 2870226043. The reversal of 2870226040 is 406220782.

It is a junction number, because it is equal to n+sod(n) for n = 2870225993 and 2870226011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2870226043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107205 + ... + 131275.

It is an arithmetic number, because the mean of its divisors is an integer number (110490480).

Almost surely, 22870226040 is an apocalyptic number.

2870226040 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 2870226040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535695360).

2870226040 is an abundant number, since it is smaller than the sum of its proper divisors (4201164680).

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

2870226040 is a wasteful number, since it uses less digits than its factorization.

2870226040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24364 (or 24360 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 2870226040 is about 53574.4905715397. The cubic root of 2870226040 is about 1421.1460099966.

The spelling of 2870226040 in words is "two billion, eight hundred seventy million, two hundred twenty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 271 440 542 1084 1355 2168 2710 2981 5420 5962 10840 11924 14905 23848 24071 29810 48142 59620 96284 119240 120355 192568 240710 264781 481420 529562 962840 1059124 1323905 2118248 2647810 5295620 6523241 10591240 13046482 26092964 32616205 52185928 65232410 71755651 130464820 143511302 260929640 287022604 358778255 574045208 717556510 1435113020 2870226040