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2270931984 = 243319276673
BaseRepresentation
bin1000011101011011…
…1010110000010000
312212021011022001000
42013112322300100
514122324310414
61013201542000
7110163413646
oct20726726020
95767138030
102270931984
11a659778a2
12534644900
132a2638449
14177863196
15d457db09
hex875bac10

2270931984 has 80 divisors (see below), whose sum is σ = 6861515200. Its totient is φ = 717133824.

The previous prime is 2270931983. The next prime is 2270931997. The reversal of 2270931984 is 4891390722.

It is not an unprimeable number, because it can be changed into a prime (2270931983) 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, 130129 + ... + 146544.

It is an arithmetic number, because the mean of its divisors is an integer number (85768940).

Almost surely, 22270931984 is an apocalyptic number.

2270931984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2270931984 is an abundant number, since it is smaller than the sum of its proper divisors (4590583216).

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

2270931984 is a wasteful number, since it uses less digits than its factorization.

2270931984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276709 (or 276697 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2270931984 is about 47654.2965953753. The cubic root of 2270931984 is about 1314.4216657187.

The spelling of 2270931984 in words is "two billion, two hundred seventy million, nine hundred thirty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 276673 553346 830019 1106692 1660038 2213384 2490057 3320076 4426768 4980114 5256787 6640152 7470171 9960228 10513574 13280304 14940342 15770361 19920456 21027148 29880684 31540722 39840912 42054296 47311083 59761368 63081444 84108592 94622166 119522736 126162888 141933249 189244332 252325776 283866498 378488664 567732996 756977328 1135465992 2270931984