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2249364492 = 2237389661
BaseRepresentation
bin1000011000010010…
…1001010000001100
312210202120120000000
42012010221100030
514101314130432
61011111404300
7106512165654
oct20604512014
95722516000
102249364492
11a54786921
12529383690
1329b02670b
14174a4b364
15d271d57c
hex8612940c

2249364492 has 96 divisors (see below), whose sum is σ = 5927812800. Its totient is φ = 746729280.

The previous prime is 2249364473. The next prime is 2249364499. The reversal of 2249364492 is 2944639422.

2249364492 is a `hidden beast` number, since 2 + 249 + 364 + 49 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249364499) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3402642 + ... + 3403302.

It is an arithmetic number, because the mean of its divisors is an integer number (61748050).

Almost surely, 22249364492 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249364492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963906400).

2249364492 is an abundant number, since it is smaller than the sum of its proper divisors (3678448308).

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

2249364492 is an equidigital number, since it uses as much as digits as its factorization.

2249364492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1055 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 2249364492 is about 47427.4655869360. The cubic root of 2249364492 is about 1310.2473149598.

The spelling of 2249364492 in words is "two billion, two hundred forty-nine million, three hundred sixty-four thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 389 486 661 729 778 972 1167 1322 1458 1556 1983 2187 2334 2644 2916 3501 3966 4374 4668 5949 7002 7932 8748 10503 11898 14004 17847 21006 23796 31509 35694 42012 53541 63018 71388 94527 107082 126036 160623 189054 214164 257129 283581 321246 378108 481869 514258 567162 642492 771387 850743 963738 1028516 1134324 1445607 1542774 1701486 1927476 2314161 2891214 3085548 3402972 4628322 5782428 6942483 9256644 13884966 20827449 27769932 41654898 62482347 83309796 124964694 187447041 249929388 374894082 562341123 749788164 1124682246 2249364492