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240220503252 = 223331109658261
BaseRepresentation
bin1101111110111001000…
…0011111110011010100
3211222001101020221121000
43133232100133303110
512413432422101002
6302204503023300
723232613405302
oct3375620376324
9758041227530
10240220503252
1192971236634
123a68143ab30
1319863c87222
14b8aba8b272
1563ae4b561c
hex37ee41fcd4

240220503252 has 96 divisors (see below), whose sum is σ = 648783027200. Its totient is φ = 76779446400.

The previous prime is 240220503223. The next prime is 240220503287. The reversal of 240220503252 is 252305022042.

240220503252 is a `hidden beast` number, since 2 + 402 + 2 + 0 + 5 + 0 + 3 + 252 = 666.

240220503252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35802 + ... + 694062.

Almost surely, 2240220503252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240220503252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324391513600).

240220503252 is an abundant number, since it is smaller than the sum of its proper divisors (408562523948).

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

240220503252 is a wasteful number, since it uses less digits than its factorization.

240220503252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658414 (or 658406 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 240220503252 its reverse (252305022042), we get a palindrome (492525525294).

The spelling of 240220503252 in words is "two hundred forty billion, two hundred twenty million, five hundred three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 109 124 186 218 279 327 372 436 558 654 837 981 1116 1308 1674 1962 2943 3348 3379 3924 5886 6758 10137 11772 13516 20274 30411 40548 60822 91233 121644 182466 364932 658261 1316522 1974783 2633044 3949566 5924349 7899132 11848698 17773047 20406091 23697396 35546094 40812182 61218273 71092188 71750449 81624364 122436546 143500898 183654819 215251347 244873092 287001796 367309638 430502694 550964457 645754041 734619276 861005388 1101928914 1291508082 1937262123 2203857828 2224263919 2583016164 3874524246 4448527838 6672791757 7749048492 8897055676 13345583514 20018375271 26691167028 40036750542 60055125813 80073501084 120110251626 240220503252