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23418180900 = 22325251012
BaseRepresentation
bin10101110011110101…
…010001010100100100
32020110001102211221100
4111303311101110210
5340430023242100
614431432520100
71456216152612
oct256365212444
966401384840
1023418180900
119a27a52a14
124656850030
1322928c7b9a
1411c22666b2
15920db5400
hex573d51524

23418180900 has 81 divisors (see below), whose sum is σ = 73417379763. Its totient is φ = 6243624000.

The previous prime is 23418180893. The next prime is 23418180923. The reversal of 23418180900 is 908181432.

The square root of 23418180900 is 153030.

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

It can be written as a sum of positive squares in 4 ways, for example, as 14540018724 + 8878162176 = 120582^2 + 94224^2 .

It is a super-2 number, since 2×234181809002 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4588350 + ... + 4593450.

Almost surely, 223418180900 is an apocalyptic number.

23418180900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23418180900 is the 153030-th square number.

It is an amenable number.

23418180900 is an abundant number, since it is smaller than the sum of its proper divisors (49999198863).

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

23418180900 is an equidigital number, since it uses as much as digits as its factorization.

23418180900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10222 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Multiplying 23418180900 by its sum of digits (36), we get a square (843054512400 = 9181802).

23418180900 divided by its sum of digits (36) gives a square (650505025 = 255052).

The spelling of 23418180900 in words is "twenty-three billion, four hundred eighteen million, one hundred eighty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 5101 10202 15303 20404 25505 30606 45909 51010 61212 76515 91818 102020 127525 153030 183636 229545 255050 306060 382575 459090 510100 765150 918180 1147725 1530300 2295450 4590900 26020201 52040402 78060603 104080804 130101005 156121206 234181809 260202010 312242412 390303015 468363618 520404020 650505025 780606030 936727236 1170909045 1301010050 1561212060 1951515075 2341818090 2602020100 3903030150 4683636180 5854545225 7806060300 11709090450 23418180900