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2190464892 = 223271117234347
BaseRepresentation
bin1000001010001111…
…1101011101111100
312122122202010221100
42002203331131330
513441224334032
61001205133100
7105165434010
oct20243753574
95578663840
102190464892
11a24507770
125116ba190
1328ba73595
1416acb8540
15cc48697c
hex828fd77c

2190464892 has 576 divisors, whose sum is σ = 7970586624. Its totient is φ = 489646080.

The previous prime is 2190464891. The next prime is 2190464897. The reversal of 2190464892 is 2984640912.

2190464892 is a `hidden beast` number, since 21 + 90 + 464 + 89 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190464891) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46605613 + ... + 46605659.

It is an arithmetic number, because the mean of its divisors is an integer number (13837824).

Almost surely, 22190464892 is an apocalyptic number.

2190464892 is a gapful number since it is divisible by the number (22) 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 2190464892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985293312).

2190464892 is an abundant number, since it is smaller than the sum of its proper divisors (5780121732).

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

2190464892 is a wasteful number, since it uses less digits than its factorization.

2190464892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2190464892 is about 46802.4026306343. The cubic root of 2190464892 is about 1298.7097439015.

The spelling of 2190464892 in words is "two billion, one hundred ninety million, four hundred sixty-four thousand, eight hundred ninety-two".