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23082117184 = 267227132
BaseRepresentation
bin10101011111110011…
…010010100001000000
32012120122002001012001
4111133303102201000
5334233010222214
614334225513344
71444665521200
oct253763224100
965518061161
1023082117184
119875287305
1245821a2854
13223b0b1109
14118d786400
15901630c74
hex55fcd2840

23082117184 has 63 divisors (see below), whose sum is σ = 53301357837. Its totient is φ = 9888689664.

The previous prime is 23082117139. The next prime is 23082117193. The reversal of 23082117184 is 48171128032.

The square root of 23082117184 is 151928.

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., 22776846400 + 305270784 = 150920^2 + 17472^2 .

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, 8506612 + ... + 8509324.

It is an arithmetic number, because the mean of its divisors is an integer number (846053299).

Almost surely, 223082117184 is an apocalyptic number.

23082117184 is the 151928-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23082117184

23082117184 is an abundant number, since it is smaller than the sum of its proper divisors (30219240653).

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

23082117184 is an frugal number, since it uses more digits than its factorization.

23082117184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5452 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 23082117184 in words is "twenty-three billion, eighty-two million, one hundred seventeen thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 2713 3136 5426 10852 18991 21704 37982 43408 75964 86816 132937 151928 173632 265874 303856 531748 607712 1063496 1215424 2126992 4253984 7360369 8507968 14720738 29441476 51522583 58882952 103045166 117765904 206090332 235531808 360658081 412180664 471063616 721316162 824361328 1442632324 1648722656 2885264648 3297445312 5770529296 11541058592 23082117184