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23145712700 = 225211109719181
BaseRepresentation
bin10101100011100101…
…111000110000111100
32012202001202000211112
4111203211320300330
5334400300301300
614344420541152
71446400211645
oct254345706074
965661660745
1023145712700
1198a8173590
12459b5517b8
13224b3197b6
141197dbc6cc
15906ee3e35
hex563978c3c

23145712700 has 72 divisors (see below), whose sum is σ = 54845020944. Its totient is φ = 8408512000.

The previous prime is 23145712699. The next prime is 23145712703. The reversal of 23145712700 is 721754132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23145712703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1197110 + ... + 1216290.

It is an arithmetic number, because the mean of its divisors is an integer number (761736402).

Almost surely, 223145712700 is an apocalyptic number.

23145712700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23145712700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27422510472).

23145712700 is an abundant number, since it is smaller than the sum of its proper divisors (31699308244).

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

23145712700 is a wasteful number, since it uses less digits than its factorization.

23145712700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20303 (or 20296 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The spelling of 23145712700 in words is "twenty-three billion, one hundred forty-five million, seven hundred twelve thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1097 1100 2194 4388 5485 10970 12067 19181 21940 24134 27425 38362 48268 54850 60335 76724 95905 109700 120670 191810 210991 241340 301675 383620 421982 479525 603350 843964 959050 1054955 1206700 1918100 2109910 4219820 5274775 10549550 21041557 21099100 42083114 84166228 105207785 210415570 231457127 420831140 462914254 526038925 925828508 1052077850 1157285635 2104155700 2314571270 4629142540 5786428175 11572856350 23145712700