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2321448376900 = 22521523632
BaseRepresentation
bin100001110010000001000…
…110110001101001000100
322012221001201200022112211
4201302001012301221010
5301013311241030100
64534243023153204
7326501440424452
oct41620106615104
98187051608484
102321448376900
118155800a8104
12315ab4445804
1313abb0b56a53
14805043bd9d2
15405bd6561ba
hex21c811b1a44

2321448376900 has 27 divisors (see below), whose sum is σ = 5037576040861. Its totient is φ = 928573256240.

The previous prime is 2321448376889. The next prime is 2321448376927. The reversal of 2321448376900 is 96738441232.

The square root of 2321448376900 is 1523630.

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., 835721415684 + 1485726961216 = 914178^2 + 1218904^2 .

It is a super-2 number, since 2×23214483769002 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

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, 15160119 + ... + 15312481.

Almost surely, 22321448376900 is an apocalyptic number.

2321448376900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2321448376900 is the 1523630-th square number.

It is an amenable number.

2321448376900 is an abundant number, since it is smaller than the sum of its proper divisors (2716127663961).

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

2321448376900 is an frugal number, since it uses more digits than its factorization.

2321448376900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304740 (or 152370 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

Multiplying 2321448376900 by its sum of digits (49), we get a square (113750970468100 = 106654102).

The spelling of 2321448376900 in words is "two trillion, three hundred twenty-one billion, four hundred forty-eight million, three hundred seventy-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 152363 304726 609452 761815 1523630 3047260 3809075 7618150 15236300 23214483769 46428967538 92857935076 116072418845 232144837690 464289675380 580362094225 1160724188450 2321448376900