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90831704220 = 2232541531811283
BaseRepresentation
bin101010010010111111…
…1011101000010011100
322200110012212122211100
41110211333131002130
52442010404013340
6105421050353100
76363615514125
oct1244577350234
9280405778740
1090831704220
1135581146854
121572b42b790
138747225a5a
14457955b04c
1525693b7830
hex1525fdd09c

90831704220 has 288 divisors, whose sum is σ = 289382393664. Its totient is φ = 23039078400.

The previous prime is 90831704149. The next prime is 90831704231. The reversal of 90831704220 is 2240713809.

90831704220 is a `hidden beast` number, since 90 + 83 + 1 + 70 + 422 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70795699 + ... + 70796981.

It is an arithmetic number, because the mean of its divisors is an integer number (1004799978).

Almost surely, 290831704220 is an apocalyptic number.

90831704220 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90831704220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144691196832).

90831704220 is an abundant number, since it is smaller than the sum of its proper divisors (198550689444).

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

90831704220 is a wasteful number, since it uses less digits than its factorization.

90831704220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 90831704220 in words is "ninety billion, eight hundred thirty-one million, seven hundred four thousand, two hundred twenty".