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2232204240 = 243572945817
BaseRepresentation
bin1000010100001100…
…1011101111010000
312202120021201120010
42011003023233100
514032421013430
61005255514520
7106213265040
oct20503135720
95676251503
102232204240
11a460260a2
12523688a40
132975c8a16
14172661720
15d0e7dcb0
hex850cbbd0

2232204240 has 160 divisors (see below), whose sum is σ = 8181262080. Its totient is φ = 492613632.

The previous prime is 2232204239. The next prime is 2232204251. The reversal of 2232204240 is 424022322.

It is a super-3 number, since 3×22322042403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 25812 + ... + 71628.

It is an arithmetic number, because the mean of its divisors is an integer number (51132888).

Almost surely, 22232204240 is an apocalyptic number.

2232204240 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 2232204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090631040).

2232204240 is an abundant number, since it is smaller than the sum of its proper divisors (5949057840).

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

2232204240 is a wasteful number, since it uses less digits than its factorization.

2232204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45869 (or 45863 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2232204240 is about 47246.2087367865. The cubic root of 2232204240 is about 1306.9068759877.

Adding to 2232204240 its reverse (424022322), we get a palindrome (2656226562).

The spelling of 2232204240 in words is "two billion, two hundred thirty-two million, two hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 112 116 120 140 145 168 174 203 210 232 240 280 290 336 348 406 420 435 464 560 580 609 696 812 840 870 1015 1160 1218 1392 1624 1680 1740 2030 2320 2436 3045 3248 3480 4060 4872 6090 6960 8120 9744 12180 16240 24360 45817 48720 91634 137451 183268 229085 274902 320719 366536 458170 549804 641438 687255 733072 916340 962157 1099608 1282876 1328693 1374510 1603595 1832680 1924314 2199216 2565752 2657386 2749020 3207190 3665360 3848628 3986079 4810785 5131504 5314772 5498040 6414380 6643465 7697256 7972158 9300851 9621570 10629544 10996080 12828760 13286930 15394512 15944316 18601702 19243140 19930395 21259088 25657520 26573860 27902553 31888632 37203404 38486280 39860790 46504255 53147720 55805106 63777264 74406808 76972560 79721580 93008510 106295440 111610212 139512765 148813616 159443160 186017020 223220424 279025530 318886320 372034040 446440848 558051060 744068080 1116102120 2232204240