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216145448 = 2353612137
BaseRepresentation
bin11001110001000…
…01111000101000
3120001201022210222
430320201320220
5420313123243
633240425212
75233130441
oct1470417050
9501638728
10216145448
11101010302
1260478208
1335a1b11c
14209c62c8
1513e98168
hexce21e28

216145448 has 48 divisors (see below), whose sum is σ = 422863740. Its totient is φ = 103534080.

The previous prime is 216145427. The next prime is 216145469. The reversal of 216145448 is 844541612.

It is an interprime number because it is at equal distance from previous prime (216145427) and next prime (216145469).

It can be written as a sum of positive squares in 6 ways, for example, as 23990404 + 192155044 = 4898^2 + 13862^2 .

It is a super-3 number, since 3×2161454483 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1577636 + ... + 1577772.

Almost surely, 2216145448 is an apocalyptic number.

It is an amenable number.

216145448 is a deficient number, since it is larger than the sum of its proper divisors (206718292).

216145448 is a wasteful number, since it uses less digits than its factorization.

216145448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 253 counting only the distinct ones).

The product of its digits is 30720, while the sum is 35.

The square root of 216145448 is about 14701.8858654256. The cubic root of 216145448 is about 600.1346438569.

The spelling of 216145448 in words is "two hundred sixteen million, one hundred forty-five thousand, four hundred forty-eight".

Divisors: 1 2 4 8 53 61 106 122 137 212 244 274 424 488 548 1096 3233 3721 6466 7261 7442 8357 12932 14522 14884 16714 25864 29044 29768 33428 58088 66856 197213 394426 442921 509777 788852 885842 1019554 1577704 1771684 2039108 3543368 4078216 27018181 54036362 108072724 216145448