Search a number
-
+
252440230251000 = 23353117649703947
BaseRepresentation
bin111001011001011111010010…
…010000000100100111111000
31020002211001100200112001011110
4321121133102100010213320
5231041440042421013000
62252521235114000320
7104113130143655361
oct7131372220044770
91202731320461143
10252440230251000
1173487333967640
12243907364160a0
13aab201c5533ac
14464a25ac66b68
151e2b83a3de850
hexe597d24049f8

252440230251000 has 128 divisors (see below), whose sum is σ = 859214747439360. Its totient is φ = 61197631568000.

The previous prime is 252440230250983. The next prime is 252440230251029. The reversal of 252440230251000 is 152032044252.

It is a super-3 number, since 3×2524402302510003 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3824818974 + ... + 3824884973.

It is an arithmetic number, because the mean of its divisors is an integer number (6712615214370).

Almost surely, 2252440230251000 is an apocalyptic number.

252440230251000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252440230251000 is an abundant number, since it is smaller than the sum of its proper divisors (606774517188360).

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

252440230251000 is a wasteful number, since it uses less digits than its factorization.

252440230251000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7649703982 (or 7649703968 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 252440230251000 its reverse (152032044252), we get a palindrome (252592262295252).

The spelling of 252440230251000 in words is "two hundred fifty-two trillion, four hundred forty billion, two hundred thirty million, two hundred fifty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 7649703947 15299407894 22949111841 30598815788 38248519735 45898223682 61197631576 76497039470 84146743417 91796447364 114745559205 152994078940 168293486834 183592894728 191242598675 229491118410 252440230251 305988157880 336586973668 382485197350 420733717085 458982236820 504880460502 573727796025 673173947336 764970394700 841467434170 917964473640 956212993375 1009760921004 1147455592050 1262201151255 1529940789400 1682934868340 1912425986750 2019521842008 2103668585425 2294911184100 2524402302510 2868638980125 3365869736680 3824851973500 4207337170850 4589822368200 5048804605020 5737277960250 6311005756275 7649703947000 8414674341700 10097609210040 10518342927125 11474555920500 12622011512550 16829348683400 21036685854250 22949111841000 25244023025100 31555028781375 42073371708500 50488046050200 63110057562750 84146743417000 126220115125500 252440230251000