Search a number
-
+
2270180864 = 297738677
BaseRepresentation
bin1000011101010000…
…0011011000000000
312212012202010200202
42013110003120000
514122131241424
61013133504332
7110154135050
oct20724033000
95765663622
102270180864
11a65504536
125343420a8
132a24345b3
14177709560
15d44812ae
hex87503600

2270180864 has 80 divisors (see below), whose sum is σ = 5255535648. Its totient is φ = 959496192.

The previous prime is 2270180851. The next prime is 2270180879. The reversal of 2270180864 is 4680810722.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257294 + ... + 265970.

Almost surely, 22270180864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2270180864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627767824).

2270180864 is an abundant number, since it is smaller than the sum of its proper divisors (2985354784).

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

2270180864 is an frugal number, since it uses more digits than its factorization.

2270180864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8775 (or 8759 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 2270180864 is about 47646.4150172917. The cubic root of 2270180864 is about 1314.2767329659.

The spelling of 2270180864 in words is "two billion, two hundred seventy million, one hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 224 256 292 448 511 512 584 896 1022 1168 1792 2044 2336 3584 4088 4672 8176 8677 9344 16352 17354 18688 32704 34708 37376 60739 65408 69416 121478 130816 138832 242956 261632 277664 485912 555328 633421 971824 1110656 1266842 1943648 2221312 2533684 3887296 4433947 4442624 5067368 7774592 8867894 10134736 15549184 17735788 20269472 31098368 35471576 40538944 70943152 81077888 141886304 162155776 283772608 324311552 567545216 1135090432 2270180864