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423076070200 = 23527521580033
BaseRepresentation
bin1100010100000010100…
…11001000001100111000
31111110000220021012021111
412022001103020030320
523412424433221300
6522205232250104
742365135155420
oct6120123101470
91443026235244
10423076070200
111534754594a3
1269bb33a0934
1330b853b2c54
1416696c13480
15b0127329ba
hex62814c8338

423076070200 has 96 divisors (see below), whose sum is σ = 1126333222560. Its totient is φ = 144775987200.

The previous prime is 423076070189. The next prime is 423076070201. The reversal of 423076070200 is 2070670324.

It is a happy number.

It is a super-2 number, since 2×4230760702002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423076070201) 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, 439384 + ... + 1019416.

It is an arithmetic number, because the mean of its divisors is an integer number (11732637735).

Almost surely, 2423076070200 is an apocalyptic number.

423076070200 is a gapful number since it is divisible by the number (40) 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 423076070200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563166611280).

423076070200 is an abundant number, since it is smaller than the sum of its proper divisors (703257152360).

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

423076070200 is a wasteful number, since it uses less digits than its factorization.

423076070200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580577 (or 580568 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The spelling of 423076070200 in words is "four hundred twenty-three billion, seventy-six million, seventy thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 521 700 1042 1400 2084 2605 3647 4168 5210 7294 10420 13025 14588 18235 20840 26050 29176 36470 52100 72940 91175 104200 145880 182350 364700 580033 729400 1160066 2320132 2900165 4060231 4640264 5800330 8120462 11600660 14500825 16240924 20301155 23201320 29001650 32481848 40602310 58003300 81204620 101505775 116006600 162409240 203011550 302197193 406023100 604394386 812046200 1208788772 1510985965 2115380351 2417577544 3021971930 4230760702 6043943860 7554929825 8461521404 10576901755 12087887720 15109859650 16923042808 21153803510 30219719300 42307607020 52884508775 60439438600 84615214040 105769017550 211538035100 423076070200