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23801701284 = 223628572
BaseRepresentation
bin10110001010101100…
…010010001110100100
32021102210002201000000
4112022230102032210
5342221213420114
614533453021300
71501554060054
oct261254221644
967383081000
1023801701284
11a104492509
124743184830
1323241b951a
14121b17b564
159448c0e09
hex58ab123a4

23801701284 has 63 divisors (see below), whose sum is σ = 62472763857. Its totient is φ = 7931123424.

The previous prime is 23801701237. The next prime is 23801701289. The reversal of 23801701284 is 48210710832.

The square root of 23801701284 is 154278.

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., 16035156900 + 7766544384 = 126630^2 + 88128^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23801701289) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 8329584 + ... + 8332440.

Almost surely, 223801701284 is an apocalyptic number.

23801701284 is the 154278-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23801701284

23801701284 is an abundant number, since it is smaller than the sum of its proper divisors (38671062573).

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

23801701284 is an frugal number, since it uses more digits than its factorization.

23801701284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Multiplying 23801701284 by its sum of digits (36), we get a square (856861246224 = 9256682).

23801701284 divided by its sum of digits (36) gives a square (661158369 = 257132).

The spelling of 23801701284 in words is "twenty-three billion, eight hundred one million, seven hundred one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2857 2916 5714 8571 11428 17142 25713 34284 51426 77139 102852 154278 231417 308556 462834 694251 925668 1388502 2082753 2777004 4165506 8162449 8331012 16324898 24487347 32649796 48974694 73462041 97949388 146924082 220386123 293848164 440772246 661158369 881544492 1322316738 1983475107 2644633476 3966950214 5950425321 7933900428 11900850642 23801701284