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252234424250420 = 225196745337218521
BaseRepresentation
bin111001010110011111100111…
…010000011111000000110100
31020002002101010201012222011112
4321112133213100133000310
5231030102100102003140
62252242521141054152
7104062223112556103
oct7126374720370064
91202071121188145
10252234424250420
117340802282a257
122435887a3b7358
13aa987b1401421
1446402d5a3603a
151e262e23a3c65
hexe567e741f034

252234424250420 has 96 divisors (see below), whose sum is σ = 565907856904320. Its totient is φ = 94154443130880.

The previous prime is 252234424250407. The next prime is 252234424250437. The reversal of 252234424250420 is 24052424432252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1154170760 + ... + 1154389280.

It is an arithmetic number, because the mean of its divisors is an integer number (5894873509420).

Almost surely, 2252234424250420 is an apocalyptic number.

252234424250420 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 252234424250420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282953928452160).

252234424250420 is an abundant number, since it is smaller than the sum of its proper divisors (313673432653900).

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

252234424250420 is a wasteful number, since it uses less digits than its factorization.

252234424250420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263953 (or 263951 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 41.

Adding to 252234424250420 its reverse (24052424432252), we get a palindrome (276286848682672).

The spelling of 252234424250420 in words is "two hundred fifty-two trillion, two hundred thirty-four billion, four hundred twenty-four million, two hundred fifty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 67 76 95 134 190 268 335 380 670 1273 1340 2546 5092 6365 12730 25460 45337 90674 181348 218521 226685 437042 453370 861403 874084 906740 1092605 1722806 2185210 3037579 3445612 4151899 4307015 4370420 6075158 8303798 8614030 12150316 14640907 15187895 16607596 17228060 20759495 29281814 30375790 41518990 57714001 58563628 60751580 73204535 83037980 115428002 146409070 230856004 278177233 288570005 292818140 556354466 577140010 1112708932 1154280020 1390886165 2781772330 5563544660 9907086577 19814173154 39628346308 49535432885 99070865770 188234644963 198141731540 376469289926 663774800659 752938579852 941173224815 1327549601318 1882346449630 2655099202636 3318874003295 3764692899260 6637748006590 12611721212521 13275496013180 25223442425042 50446884850084 63058606062605 126117212125210 252234424250420