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2147661340 = 22511172324967
BaseRepresentation
bin1000000000000010…
…1011011000011100
312112200012111111121
42000000223120130
513344300130330
6553035500324
7104135551216
oct20000533034
95480174447
102147661340
11a02331830
124bb2b76a4
13282c37936
141653355b6
15c882e17a
hex8002b61c

2147661340 has 96 divisors (see below), whose sum is σ = 5436232704. Its totient is φ = 703042560.

The previous prime is 2147661331. The next prime is 2147661353. The reversal of 2147661340 is 431667412.

It is a super-2 number, since 2×21476613402 = 9224898462661191200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 2147661296 and 2147661305.

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, 73537 + ... + 98503.

It is an arithmetic number, because the mean of its divisors is an integer number (56627424).

Almost surely, 22147661340 is an apocalyptic number.

2147661340 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 2147661340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718116352).

2147661340 is an abundant number, since it is smaller than the sum of its proper divisors (3288571364).

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

2147661340 is a wasteful number, since it uses less digits than its factorization.

2147661340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25027 (or 25025 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 2147661340 is about 46342.8671965816. The cubic root of 2147661340 is about 1290.1947385434.

The spelling of 2147661340 in words is "two billion, one hundred forty-seven million, six hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 23 34 44 46 55 68 85 92 110 115 170 187 220 230 253 340 374 391 460 506 748 782 935 1012 1265 1564 1870 1955 2530 3740 3910 4301 5060 7820 8602 17204 21505 24967 43010 49934 86020 99868 124835 249670 274637 424439 499340 549274 574241 848878 1098548 1148482 1373185 1697756 2122195 2296964 2746370 2871205 4244390 4668829 5492740 5742410 6316651 8488780 9337658 9762097 11484820 12633302 18675316 19524194 23344145 25266604 31583255 39048388 46688290 48810485 63166510 93376580 97620970 107383067 126333020 195241940 214766134 429532268 536915335 1073830670 2147661340