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2174025728 = 21672677
BaseRepresentation
bin1000000110010101…
…0000000000000000
312121111210221122102
42001211100000000
513423022310403
6555420525532
7104605625300
oct20145200000
95544727572
102174025728
11a161a9786
125080b08a8
13288538b74
14168a39600
15cacdab88
hex81950000

2174025728 has 102 divisors (see below), whose sum is σ = 5065369866. Its totient is φ = 930349056.

The previous prime is 2174025713. The next prime is 2174025731. The reversal of 2174025728 is 8275204712.

It can be written as a sum of positive squares in only one way, i.e., 2170814464 + 3211264 = 46592^2 + 1792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2174025691 and 2174025700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3210926 + ... + 3211602.

Almost surely, 22174025728 is an apocalyptic number.

2174025728 is a gapful number since it is divisible by the number (28) 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 2174025728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532684933).

2174025728 is an abundant number, since it is smaller than the sum of its proper divisors (2891344138).

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

2174025728 is an frugal number, since it uses more digits than its factorization.

2174025728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 38.

The square root of 2174025728 is about 46626.4488032276. The cubic root of 2174025728 is about 1295.4526978297.

The spelling of 2174025728 in words is "two billion, one hundred seventy-four million, twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 677 784 896 1024 1354 1568 1792 2048 2708 3136 3584 4096 4739 5416 6272 7168 8192 9478 10832 12544 14336 16384 18956 21664 25088 28672 32768 33173 37912 43328 50176 57344 65536 66346 75824 86656 100352 114688 132692 151648 173312 200704 229376 265384 303296 346624 401408 458752 530768 606592 693248 802816 1061536 1213184 1386496 1605632 2123072 2426368 2772992 3211264 4246144 4852736 5545984 8492288 9705472 11091968 16984576 19410944 22183936 33969152 38821888 44367872 67938304 77643776 135876608 155287552 271753216 310575104 543506432 1087012864 2174025728