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213968475 = 32527731861
BaseRepresentation
bin11001100000011…
…10011001011011
3112220121201120100
430300032121123
5414233442400
633122030443
75205462540
oct1460163133
9486551510
10213968475
11aa863756
125b7a8423
1335438286
14205babc7
1513bb8100
hexcc0e65b

213968475 has 72 divisors (see below), whose sum is σ = 444228512. Its totient is φ = 96422400.

The previous prime is 213968441. The next prime is 213968483. The reversal of 213968475 is 574869312.

213968475 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 213968475 - 26 = 213968411 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 213968475.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114045 + ... + 115905.

Almost surely, 2213968475 is an apocalyptic number.

213968475 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

213968475 is an abundant number, since it is smaller than the sum of its proper divisors (230260037).

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

213968475 is a wasteful number, since it uses less digits than its factorization.

213968475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1949 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 213968475 is about 14627.6612963249. The cubic root of 213968475 is about 598.1130301290.

The spelling of 213968475 in words is "two hundred thirteen million, nine hundred sixty-eight thousand, four hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 73 75 105 175 219 225 315 365 511 525 657 1095 1533 1575 1825 1861 2555 3285 4599 5475 5583 7665 9305 12775 13027 16425 16749 22995 27915 38325 39081 46525 65135 83745 114975 117243 135853 139575 195405 325675 407559 418725 586215 679265 950971 977025 1222677 2037795 2852913 2931075 3396325 4754855 6113385 8558739 10188975 14264565 23774275 30566925 42793695 71322825 213968475