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2250411730 = 257212973541
BaseRepresentation
bin1000011000100010…
…1000111011010010
312210211112202112121
42012020220323102
514102101133410
61011150044454
7106524120100
oct20610507322
95724482477
102250411730
11a55331706
125297a972a
1329b302298
14174c40c70
15d28789da
hex86228ed2

2250411730 has 48 divisors (see below), whose sum is σ = 4717051416. Its totient is φ = 770757120.

The previous prime is 2250411727. The next prime is 2250411733. The reversal of 2250411730 is 371140522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2250411727) and next prime (2250411733).

It can be written as a sum of positive squares in 4 ways, for example, as 2206838529 + 43573201 = 46977^2 + 6601^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2250411695 and 2250411704.

It is not an unprimeable number, because it can be changed into a prime (2250411733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 633760 + ... + 637300.

Almost surely, 22250411730 is an apocalyptic number.

2250411730 is an abundant number, since it is smaller than the sum of its proper divisors (2466639686).

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

2250411730 is a wasteful number, since it uses less digits than its factorization.

2250411730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4859 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 2250411730 is about 47438.5047192679. The cubic root of 2250411730 is about 1310.4506209595.

The spelling of 2250411730 in words is "two billion, two hundred fifty million, four hundred eleven thousand, seven hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 1297 2594 3541 6485 7082 9079 12970 17705 18158 24787 35410 45395 49574 63553 90790 123935 127106 173509 247870 317765 347018 635530 867545 1735090 4592677 9185354 22963385 32148739 45926770 64297478 160743695 225041173 321487390 450082346 1125205865 2250411730