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2252245104 = 2432192333533
BaseRepresentation
bin1000011000111110…
…1000100001110000
312210221222220110100
42012033220201300
514103033320404
61011253232400
7106545524154
oct20617504160
95727886410
102252245104
11a5637409a
1252a332700
1329b7c4915
1417519b064
15d2adbd39
hex863e8870

2252245104 has 120 divisors (see below), whose sum is σ = 6665265360. Its totient is φ = 707982336.

The previous prime is 2252245103. The next prime is 2252245109. The reversal of 2252245104 is 4015422522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252245103) 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, 635722 + ... + 639254.

It is an arithmetic number, because the mean of its divisors is an integer number (55543878).

Almost surely, 22252245104 is an apocalyptic number.

2252245104 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 2252245104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332632680).

2252245104 is an abundant number, since it is smaller than the sum of its proper divisors (4413020256).

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

2252245104 is a wasteful number, since it uses less digits than its factorization.

2252245104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2252245104 is about 47457.8244760545. The cubic root of 2252245104 is about 1310.8063919978.

Adding to 2252245104 its reverse (4015422522), we get a palindrome (6267667626).

The spelling of 2252245104 in words is "two billion, two hundred fifty-two million, two hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 233 304 342 456 466 684 699 912 932 1368 1398 1864 2097 2736 2796 3533 3728 4194 4427 5592 7066 8388 8854 10599 11184 13281 14132 16776 17708 21198 26562 28264 31797 33552 35416 39843 42396 53124 56528 63594 67127 70832 79686 84792 106248 127188 134254 159372 169584 201381 212496 254376 268508 318744 402762 508752 537016 604143 637488 805524 823189 1074032 1208286 1611048 1646378 2416572 2469567 3222096 3292756 4833144 4939134 6585512 7408701 9666288 9878268 13171024 14817402 15640591 19756536 29634804 31281182 39513072 46921773 59269608 62562364 93843546 118539216 125124728 140765319 187687092 250249456 281530638 375374184 563061276 750748368 1126122552 2252245104