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2250200512 = 26717359823
BaseRepresentation
bin1000011000011111…
…0101010111000000
312210211011000210201
42012013311113000
514102022404022
61011141334544
7106522250230
oct20607652700
95724130721
102250200512
11a551a7a4a
12529707454
1329b25a0c1
14174bc7cc0
15d2836127
hex861f55c0

2250200512 has 112 divisors (see below), whose sum is σ = 5424952320. Its totient is φ = 904015872.

The previous prime is 2250200501. The next prime is 2250200543. The reversal of 2250200512 is 2150020522.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 2250200512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2733733 + ... + 2734555.

Almost surely, 22250200512 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 2250200512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712476160).

2250200512 is an abundant number, since it is smaller than the sum of its proper divisors (3174751808).

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

2250200512 is a wasteful number, since it uses less digits than its factorization.

2250200512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 2250200512 is about 47436.2784374997. The cubic root of 2250200512 is about 1310.4096211407.

The spelling of 2250200512 in words is "two billion, two hundred fifty million, two hundred thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 359 448 476 544 718 823 952 1088 1436 1646 1904 2513 2872 3292 3808 5026 5744 5761 6103 6584 7616 10052 11488 11522 12206 13168 13991 20104 22976 23044 24412 26336 27982 40208 42721 46088 48824 52672 55964 80416 85442 92176 97648 97937 111928 160832 170884 184352 195296 195874 223856 295457 341768 368704 390592 391748 447712 590914 683536 783496 895424 1181828 1367072 1566992 2068199 2363656 2734144 3133984 4136398 4727312 5022769 6267968 8272796 9454624 10045538 16545592 18909248 20091076 33091184 35159383 40182152 66182368 70318766 80364304 132364736 140637532 160728608 281275064 321457216 562550128 1125100256 2250200512