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216572448 = 25331611193
BaseRepresentation
bin11001110100010…
…10001000100000
3120002112000112210
430322022020200
5420420304243
633253522120
75236556361
oct1472121040
9502460483
10216572448
111012820a4
1260643340
1335b3a5a1
1420a97b68
151402e933
hexce8a220

216572448 has 96 divisors (see below), whose sum is σ = 596961792. Its totient is φ = 68659200.

The previous prime is 216572429. The next prime is 216572449. The reversal of 216572448 is 844275612.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (216572449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180940 + ... + 182132.

It is an arithmetic number, because the mean of its divisors is an integer number (6218352).

Almost surely, 2216572448 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 216572448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298480896).

216572448 is an abundant number, since it is smaller than the sum of its proper divisors (380389344).

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

216572448 is a wasteful number, since it uses less digits than its factorization.

216572448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1290 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 216572448 is about 14716.4006468973. The cubic root of 216572448 is about 600.5295768875.

The spelling of 216572448 in words is "two hundred sixteen million, five hundred seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 93 96 122 124 183 186 244 248 366 372 488 496 732 744 976 992 1193 1464 1488 1891 1952 2386 2928 2976 3579 3782 4772 5673 5856 7158 7564 9544 11346 14316 15128 19088 22692 28632 30256 36983 38176 45384 57264 60512 72773 73966 90768 110949 114528 145546 147932 181536 218319 221898 291092 295864 436638 443796 582184 591728 873276 887592 1164368 1183456 1746552 1775184 2255963 2328736 3493104 3550368 4511926 6767889 6986208 9023852 13535778 18047704 27071556 36095408 54143112 72190816 108286224 216572448