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2089780224 = 21037213883
BaseRepresentation
bin111110010001111…
…1000010000000000
312101122021211112120
41330203320100000
513234440431344
6543211124240
7102533560500
oct17443702000
95348254476
102089780224
119826988a4
124a3a43680
13273c5025c
1415b789a00
15c36e9219
hex7c8f8400

2089780224 has 132 divisors (see below), whose sum is σ = 6479884944. Its totient is φ = 597037056.

The previous prime is 2089780219. The next prime is 2089780249. The reversal of 2089780224 is 4220879802.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143587 + ... + 157469.

Almost surely, 22089780224 is an apocalyptic number.

2089780224 is a gapful number since it is divisible by the number (24) 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 2089780224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239942472).

2089780224 is an abundant number, since it is smaller than the sum of its proper divisors (4390104720).

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

2089780224 is a wasteful number, since it uses less digits than its factorization.

2089780224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13920 (or 13895 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 2089780224 is about 45714.1140568206. The cubic root of 2089780224 is about 1278.4984475692.

The spelling of 2089780224 in words is "two billion, eighty-nine million, seven hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2352 2688 3072 3136 3584 4704 5376 6272 7168 9408 10752 12544 13883 18816 21504 25088 27766 37632 41649 50176 55532 75264 83298 97181 111064 150528 166596 194362 222128 291543 333192 388724 444256 583086 666384 680267 777448 888512 1166172 1332768 1360534 1554896 1777024 2040801 2332344 2665536 2721068 3109792 3554048 4081602 4664688 5331072 5442136 6219584 7108096 8163204 9329376 10662144 10884272 12439168 14216192 16326408 18658752 21324288 21768544 24878336 32652816 37317504 42648576 43537088 49756672 65305632 74635008 87074176 99513344 130611264 149270016 174148352 261222528 298540032 348296704 522445056 696593408 1044890112 2089780224