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2250011040 = 253516728069
BaseRepresentation
bin1000011000011100…
…0111000110100000
312210210210101220020
42012013013012200
514102000323130
61011133313440
7106520530644
oct20607070640
95723711806
102250011040
11a55088662
12529635880
1329b1c1aa4
14174b78c24
15d27e9e10
hex861c71a0

2250011040 has 96 divisors (see below), whose sum is σ = 7130229120. Its totient is φ = 596388864.

The previous prime is 2250011017. The next prime is 2250011053. The reversal of 2250011040 is 401100522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 66126 + ... + 94194.

It is an arithmetic number, because the mean of its divisors is an integer number (74273220).

Almost surely, 22250011040 is an apocalyptic number.

2250011040 is a gapful number since it is divisible by the number (20) 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 2250011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565114560).

2250011040 is an abundant number, since it is smaller than the sum of its proper divisors (4880218080).

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

2250011040 is a wasteful number, since it uses less digits than its factorization.

2250011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28254 (or 28246 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2250011040 is about 47434.2812742008. The cubic root of 2250011040 is about 1310.3728402850.

Adding to 2250011040 its reverse (401100522), we get a palindrome (2651111562).

The spelling of 2250011040 in words is "two billion, two hundred fifty million, eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 167 240 334 480 501 668 835 1002 1336 1670 2004 2505 2672 3340 4008 5010 5344 6680 8016 10020 13360 16032 20040 26720 28069 40080 56138 80160 84207 112276 140345 168414 224552 280690 336828 421035 449104 561380 673656 842070 898208 1122760 1347312 1684140 2245520 2694624 3368280 4491040 4687523 6736560 9375046 13473120 14062569 18750092 23437615 28125138 37500184 46875230 56250276 70312845 75000368 93750460 112500552 140625690 150000736 187500920 225001104 281251380 375001840 450002208 562502760 750003680 1125005520 2250011040