Search a number
-
+
2290868475 = 352719832767
BaseRepresentation
bin1000100010001011…
…1110000011111011
312220122200011202120
42020202332003323
514142430242400
61015153132323
7110525026560
oct21042760373
95818604676
102290868475
11a76154435
1253b25a0a3
132a67c899c
1417a372867
15d61baca0
hex888be0fb

2290868475 has 96 divisors (see below), whose sum is σ = 4613038080. Its totient is φ = 979827840.

The previous prime is 2290868441. The next prime is 2290868477. The reversal of 2290868475 is 5748680922.

2290868475 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2290868475 - 27 = 2290868347 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2290868477) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 826542 + ... + 829308.

It is an arithmetic number, because the mean of its divisors is an integer number (48052480).

Almost surely, 22290868475 is an apocalyptic number.

2290868475 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2290868475 is an abundant number, since it is smaller than the sum of its proper divisors (2322169605).

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

2290868475 is a wasteful number, since it uses less digits than its factorization.

2290868475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 2290868475 is about 47863.0178216961. The cubic root of 2290868475 is about 1318.2568962715.

The spelling of 2290868475 in words is "two billion, two hundred ninety million, eight hundred sixty-eight thousand, four hundred seventy-five".

Divisors: 1 3 5 7 15 19 21 25 35 57 75 83 95 105 133 175 249 285 399 415 475 525 581 665 1245 1425 1577 1743 1995 2075 2767 2905 3325 4731 6225 7885 8301 8715 9975 11039 13835 14525 19369 23655 33117 39425 41505 43575 52573 55195 58107 69175 96845 118275 157719 165585 207525 229661 262865 275975 290535 368011 484225 688983 788595 827925 1104033 1148305 1314325 1452675 1607627 1840055 3444915 3942975 4363559 4822881 5520165 5741525 8038135 9200275 13090677 17224575 21817795 24114405 27600825 30544913 40190675 65453385 91634739 109088975 120572025 152724565 327266925 458173695 763622825 2290868475