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2141211480 = 2335591931567
BaseRepresentation
bin111111110100000…
…0100101101011000
312112020001210221220
41333220010231120
513341122231410
6552245332040
7104026666032
oct17750045530
95466053856
102141211480
119a9726971
124b9107020
132817b9c55
14164536c52
15c7ea8070
hex7fa04b58

2141211480 has 128 divisors (see below), whose sum is σ = 6570547200. Its totient is φ = 558047232.

The previous prime is 2141211469. The next prime is 2141211481. The reversal of 2141211480 is 841121412.

2141211480 is digitally balanced in base 4, 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2141211480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141211481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1365657 + ... + 1367223.

It is an arithmetic number, because the mean of its divisors is an integer number (51332400).

Almost surely, 22141211480 is an apocalyptic number.

2141211480 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 2141211480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285273600).

2141211480 is an abundant number, since it is smaller than the sum of its proper divisors (4429335720).

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

2141211480 is a wasteful number, since it uses less digits than its factorization.

2141211480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 2141211480 is about 46273.2263841630. The cubic root of 2141211480 is about 1288.9018717920.

Adding to 2141211480 its reverse (841121412), we get a palindrome (2982332892).

The spelling of 2141211480 in words is "two billion, one hundred forty-one million, two hundred eleven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 193 236 295 354 386 472 579 590 708 772 885 965 1158 1180 1416 1544 1567 1770 1930 2316 2360 2895 3134 3540 3860 4632 4701 5790 6268 7080 7720 7835 9402 11387 11580 12536 15670 18804 22774 23160 23505 31340 34161 37608 45548 47010 56935 62680 68322 91096 92453 94020 113870 136644 170805 184906 188040 227740 273288 277359 302431 341610 369812 455480 462265 554718 604862 683220 739624 907293 924530 1109436 1209724 1366440 1386795 1512155 1814586 1849060 2218872 2419448 2773590 3024310 3629172 3698120 4536465 5547180 6048620 7258344 9072930 11094360 12097240 17843429 18145860 35686858 36291720 53530287 71373716 89217145 107060574 142747432 178434290 214121148 267651435 356868580 428242296 535302870 713737160 1070605740 2141211480