Search a number
-
+
90322213032 = 23321254475181
BaseRepresentation
bin101010000011110011…
…1111001100010101000
322122010201011211022100
41110013213321202220
52434434441304112
6105254330253400
76345161100102
oct1240747714250
9278121154270
1090322213032
113533a597557
1215608887260
1386957c988c
14452ba14572
1525397c72dc
hex15079f98a8

90322213032 has 24 divisors (see below), whose sum is σ = 244622660490. Its totient is φ = 30107404320.

The previous prime is 90322212991. The next prime is 90322213057. The reversal of 90322213032 is 23031222309.

It can be written as a sum of positive squares in only one way, i.e., 89780533956 + 541679076 = 299634^2 + 23274^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 90322212987 and 90322213005.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 627237519 + ... + 627237662.

Almost surely, 290322213032 is an apocalyptic number.

It is an amenable number.

90322213032 is an abundant number, since it is smaller than the sum of its proper divisors (154300447458).

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

90322213032 is a wasteful number, since it uses less digits than its factorization.

90322213032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254475193 (or 1254475186 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 90322213032 in words is "ninety billion, three hundred twenty-two million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1254475181 2508950362 3763425543 5017900724 7526851086 10035801448 11290276629 15053702172 22580553258 30107404344 45161106516 90322213032