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2181334272 = 28313435081
BaseRepresentation
bin1000001000000100…
…1000010100000000
312122000120021002020
42002001020110000
513431410144042
61000241321440
7105025015065
oct20201102400
95560507066
102181334272
11a1a3407a7
1250a636280
13289bc7650
141699bcc6c
15cb7813ec
hex82048500

2181334272 has 144 divisors (see below), whose sum is σ = 6398766528. Its totient is φ = 655441920.

The previous prime is 2181334271. The next prime is 2181334279. The reversal of 2181334272 is 2724331812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2181334271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426772 + ... + 431852.

Almost surely, 22181334272 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 2181334272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199383264).

2181334272 is an abundant number, since it is smaller than the sum of its proper divisors (4217432256).

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

2181334272 is a wasteful number, since it uses less digits than its factorization.

2181334272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5156 (or 5142 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 2181334272 is about 46704.7564173072. The cubic root of 2181334272 is about 1296.9027394324.

The spelling of 2181334272 in words is "two billion, one hundred eighty-one million, three hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 128 129 156 172 192 208 256 258 312 344 384 416 516 559 624 688 768 832 1032 1118 1248 1376 1664 1677 2064 2236 2496 2752 3328 3354 4128 4472 4992 5081 5504 6708 8256 8944 9984 10162 11008 13416 15243 16512 17888 20324 26832 30486 33024 35776 40648 53664 60972 66053 71552 81296 107328 121944 132106 143104 162592 198159 214656 218483 243888 264212 325184 396318 429312 436966 487776 528424 650368 655449 792636 873932 975552 1056848 1300736 1310898 1585272 1747864 1951104 2113696 2621796 2840279 3170544 3495728 3902208 4227392 5243592 5680558 6341088 6991456 8454784 8520837 10487184 11361116 12682176 13982912 16909568 17041674 20974368 22722232 25364352 27965824 34083348 41948736 45444464 50728704 55931648 68166696 83897472 90888928 136333392 167794944 181777856 272666784 363555712 545333568 727111424 1090667136 2181334272