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2251503240 = 2335714917989
BaseRepresentation
bin1000011000110011…
…0011011010001000
312210220121012210220
42012030303122020
514102341100430
61011225310040
7106536314250
oct20614633210
95726535726
102251503240
11a55a07788
1252a035320
1329b5c504c
14175046960
15d29e2110
hex86333688

2251503240 has 128 divisors (see below), whose sum is σ = 7771680000. Its totient is φ = 511147008.

The previous prime is 2251503187. The next prime is 2251503269. The reversal of 2251503240 is 423051522.

It is a super-3 number, since 3×22515032403 (a number of 29 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2251503240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116166 + ... + 134154.

It is an arithmetic number, because the mean of its divisors is an integer number (60716250).

Almost surely, 22251503240 is an apocalyptic number.

2251503240 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 2251503240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885840000).

2251503240 is an abundant number, since it is smaller than the sum of its proper divisors (5520176760).

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

2251503240 is a wasteful number, since it uses less digits than its factorization.

2251503240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18159 (or 18155 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2251503240 is about 47450.0077976811. The cubic root of 2251503240 is about 1310.6624546052.

Adding to 2251503240 its reverse (423051522), we get a palindrome (2674554762).

The spelling of 2251503240 in words is "two billion, two hundred fifty-one million, five hundred three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 149 168 210 280 298 420 447 596 745 840 894 1043 1192 1490 1788 2086 2235 2980 3129 3576 4172 4470 5215 5960 6258 8344 8940 10430 12516 15645 17880 17989 20860 25032 31290 35978 41720 53967 62580 71956 89945 107934 125160 125923 143912 179890 215868 251846 269835 359780 377769 431736 503692 539670 629615 719560 755538 1007384 1079340 1259230 1511076 1888845 2158680 2518460 2680361 3022152 3777690 5036920 5360722 7555380 8041083 10721444 13401805 15110760 16082166 18762527 21442888 26803610 32164332 37525054 40205415 53607220 56287581 64328664 75050108 80410830 93812635 107214440 112575162 150100216 160821660 187625270 225150324 281437905 321643320 375250540 450300648 562875810 750501080 1125751620 2251503240