Search a number
-
+
90219468 = 22337317641
BaseRepresentation
bin1010110000010…
…10001111001100
320021202121211210
411120022033030
5141044010333
612541414420
72143565343
oct530121714
9207677753
1090219468
1146a21249
122626a410
13158cab01
14bda6b5a
157dc1a63
hex560a3cc

90219468 has 48 divisors (see below), whose sum is σ = 217221984. Its totient is φ = 29122560.

The previous prime is 90219463. The next prime is 90219469. The reversal of 90219468 is 86491209.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (90219463) 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, 140428 + ... + 141068.

It is an arithmetic number, because the mean of its divisors is an integer number (4525458).

Almost surely, 290219468 is an apocalyptic number.

It is an amenable number.

90219468 is an abundant number, since it is smaller than the sum of its proper divisors (127002516).

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

90219468 is a wasteful number, since it uses less digits than its factorization.

90219468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 90219468 is about 9498.3929166991. The cubic root of 90219468 is about 448.5044474577.

The spelling of 90219468 in words is "ninety million, two hundred nineteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 317 444 634 641 951 1268 1282 1902 1923 2564 3804 3846 7692 11729 23458 23717 35187 46916 47434 70374 71151 94868 140748 142302 203197 284604 406394 609591 812788 1219182 2438364 7518289 15036578 22554867 30073156 45109734 90219468