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2187245824 = 28372792
BaseRepresentation
bin1000001001011110…
…1011100100000000
312122102200121012121
42002113223210000
513434413331244
61001012134024
7105126165661
oct20227534400
95572617177
102187245824
11a22709185
12510607314
1328b1b72ca
1416a6bb368
15cc04cc84
hex825eb900

2187245824 has 81 divisors (see below), whose sum is σ = 4544653617. Its totient is φ = 1050596352.

The previous prime is 2187245813. The next prime is 2187245831. The reversal of 2187245824 is 4285427812.

The square root of 2187245824 is 46768.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1957177600 + 230068224 = 44240^2 + 15168^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27686617 + ... + 27686695.

Almost surely, 22187245824 is an apocalyptic number.

2187245824 is the 46768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2187245824

2187245824 is an abundant number, since it is smaller than the sum of its proper divisors (2357407793).

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

2187245824 is an frugal number, since it uses more digits than its factorization.

2187245824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 118 counting only the distinct ones).

The product of its digits is 286720, while the sum is 43.

The cubic root of 2187245824 is about 1298.0732451389.

The spelling of 2187245824 in words is "two billion, one hundred eighty-seven million, two hundred forty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 64 74 79 128 148 158 256 296 316 592 632 1184 1264 1369 2368 2528 2738 2923 4736 5056 5476 5846 6241 9472 10112 10952 11692 12482 20224 21904 23384 24964 43808 46768 49928 87616 93536 99856 108151 175232 187072 199712 216302 230917 350464 374144 399424 432604 461834 748288 798848 865208 923668 1597696 1730416 1847336 3460832 3694672 6921664 7389344 8543929 13843328 14778688 17087858 27686656 29557376 34175716 59114752 68351432 136702864 273405728 546811456 1093622912 2187245824