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2090868224 = 2919372157
BaseRepresentation
bin111110010100000…
…0001111000000000
312101201100002222212
41330220001320000
513240230240344
6543250321252
7102546041504
oct17450017000
95351302885
102090868224
11983271275
124a4289228
13274241543
1415b990304
15c386179e
hex7ca01e00

2090868224 has 120 divisors (see below), whose sum is σ = 4548380760. Its totient is φ = 957505536.

The previous prime is 2090868211. The next prime is 2090868229. The reversal of 2090868224 is 4228680902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2090868229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13317554 + ... + 13317710.

It is an arithmetic number, because the mean of its divisors is an integer number (37903173).

Almost surely, 22090868224 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 2090868224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274190380).

2090868224 is an abundant number, since it is smaller than the sum of its proper divisors (2457512536).

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

2090868224 is an equidigital number, since it uses as much as digits as its factorization.

2090868224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 2090868224 is about 45726.0125530316. The cubic root of 2090868224 is about 1278.7202834933.

The spelling of 2090868224 in words is "two billion, ninety million, eight hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 128 148 152 157 256 296 304 314 512 592 608 628 703 1184 1216 1256 1369 1406 2368 2432 2512 2738 2812 2983 4736 4864 5024 5476 5624 5809 5966 9472 9728 10048 10952 11248 11618 11932 18944 20096 21904 22496 23236 23864 26011 40192 43808 44992 46472 47728 52022 80384 87616 89984 92944 95456 104044 110371 175232 179968 185888 190912 208088 214933 220742 350464 359936 371776 381824 416176 429866 441484 700928 743552 763648 832352 859732 882968 1487104 1527296 1664704 1719464 1765936 2974208 3329408 3438928 3531872 4083727 6658816 6877856 7063744 8167454 13317632 13755712 14127488 16334908 27511424 28254976 32669816 55022848 56509952 65339632 110045696 130679264 261358528 522717056 1045434112 2090868224