Search a number
-
+
2320990230400 = 27522857253871
BaseRepresentation
bin100001110001100101110…
…011000101011110000000
322012212212210121001200221
4201301211303011132000
5301011341444333100
64534125335352424
7326454205305412
oct41614563053600
98185783531627
102320990230400
11815365527936
123159a6b22714
1313ab39c6704a
148049d6009b2
154059330901a
hex21c65cc5780

2320990230400 has 96 divisors (see below), whose sum is σ = 5735600621280. Its totient is φ = 928067481600.

The previous prime is 2320990230371. The next prime is 2320990230409. The reversal of 2320990230400 is 40320990232.

It is a happy number.

It is a super-2 number, since 2×23209902304002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320990230409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9015465 + ... + 9269335.

It is an arithmetic number, because the mean of its divisors is an integer number (59745839805).

Almost surely, 22320990230400 is an apocalyptic number.

2320990230400 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 2320990230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867800310640).

2320990230400 is an abundant number, since it is smaller than the sum of its proper divisors (3414610390880).

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

2320990230400 is a wasteful number, since it uses less digits than its factorization.

2320990230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256752 (or 256735 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 2320990230400 in words is "two trillion, three hundred twenty billion, nine hundred ninety million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 2857 3200 5714 11428 14285 22856 28570 45712 57140 71425 91424 114280 142850 182848 228560 253871 285700 365696 457120 507742 571400 914240 1015484 1142800 1269355 1828480 2030968 2285600 2538710 4061936 4571200 5077420 6346775 8123872 9142400 10154840 12693550 16247744 20309680 25387100 32495488 40619360 50774200 81238720 101548400 162477440 203096800 406193600 725309447 812387200 1450618894 2901237788 3626547235 5802475576 7253094470 11604951152 14506188940 18132736175 23209902304 29012377880 36265472350 46419804608 58024755760 72530944700 92839609216 116049511520 145061889400 232099023040 290123778800 464198046080 580247557600 1160495115200 2320990230400