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23014415400 = 23352206318593
BaseRepresentation
bin10101011011110001…
…000001110000101000
32012101220200102210120
4111123301001300220
5334113142243100
614323410443240
71443214205664
oct253361016050
965356612716
1023014415400
119840045a19
124563593520
13222a0686a2
1411847a18a4
158ea70b0a0
hex55bc41c28

23014415400 has 96 divisors (see below), whose sum is σ = 71383109760. Its totient is φ = 6133872640.

The previous prime is 23014415377. The next prime is 23014415401. The reversal of 23014415400 is 451441032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (23014415401) 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, 1228504 + ... + 1247096.

It is an arithmetic number, because the mean of its divisors is an integer number (743574060).

Almost surely, 223014415400 is an apocalyptic number.

23014415400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23014415400 is an abundant number, since it is smaller than the sum of its proper divisors (48368694360).

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

23014415400 is a wasteful number, since it uses less digits than its factorization.

23014415400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20675 (or 20666 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 23014415400 its reverse (451441032), we get a palindrome (23465856432).

The spelling of 23014415400 in words is "twenty-three billion, fourteen million, four hundred fifteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 2063 4126 6189 8252 10315 12378 16504 18593 20630 24756 30945 37186 41260 49512 51575 55779 61890 74372 82520 92965 103150 111558 123780 148744 154725 185930 206300 223116 247560 278895 309450 371860 412600 446232 464825 557790 618900 743720 929650 1115580 1237800 1394475 1859300 2231160 2788950 3718600 5577900 11155800 38357359 76714718 115072077 153429436 191786795 230144154 306858872 383573590 460288308 575360385 767147180 920576616 958933975 1150720770 1534294360 1917867950 2301441540 2876801925 3835735900 4602883080 5753603850 7671471800 11507207700 23014415400