Search a number
-
+
225976072248 = 233219915771641
BaseRepresentation
bin1101001001110100111…
…0010011100000111000
3210121021122211212201100
43102131032103200320
512200244333302443
6251451215251400
722216616631033
oct3223516234070
9717248755640
10225976072248
1187921668803
1237966b19b60
1318403b35724
14ad19d4801a
155d28b9d3d3
hex349d393838

225976072248 has 48 divisors (see below), whose sum is σ = 615094038000. Its totient is φ = 74946833280.

The previous prime is 225976072243. The next prime is 225976072303. The reversal of 225976072248 is 842270679522.

225976072248 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 7 + 607 + 2 + 24 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 225976072194 and 225976072203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225976072243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7871493 + ... + 7900148.

It is an arithmetic number, because the mean of its divisors is an integer number (12814459125).

Almost surely, 2225976072248 is an apocalyptic number.

It is an amenable number.

225976072248 is an abundant number, since it is smaller than the sum of its proper divisors (389117965752).

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

225976072248 is a wasteful number, since it uses less digits than its factorization.

225976072248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15771852 (or 15771845 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 225976072248 in words is "two hundred twenty-five billion, nine hundred seventy-six million, seventy-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 199 398 597 796 1194 1592 1791 2388 3582 4776 7164 14328 15771641 31543282 47314923 63086564 94629846 126173128 141944769 189259692 283889538 378519384 567779076 1135558152 3138556559 6277113118 9415669677 12554226236 18831339354 25108452472 28247009031 37662678708 56494018062 75325357416 112988036124 225976072248