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2232141000 = 233531375431
BaseRepresentation
bin1000010100001011…
…1100010011001000
312202120011111210220
42011002330103020
514032412003000
61005254310040
7106212612465
oct20502742310
95676144726
102232141000
11a45a92631
12523658320
132975a5cbb
1417264666c
15d0e6a1a0
hex850bc4c8

2232141000 has 128 divisors (see below), whose sum is σ = 7016405760. Its totient is φ = 590784000.

The previous prime is 2232140993. The next prime is 2232141013. The reversal of 2232141000 is 1412322.

It is a super-3 number, since 3×22321410003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 408285 + ... + 413715.

It is an arithmetic number, because the mean of its divisors is an integer number (54815670).

Almost surely, 22232141000 is an apocalyptic number.

2232141000 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 2232141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508202880).

2232141000 is an abundant number, since it is smaller than the sum of its proper divisors (4784264760).

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

2232141000 is a wasteful number, since it uses less digits than its factorization.

2232141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5592 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2232141000 is about 47245.5394719967. The cubic root of 2232141000 is about 1306.8945339912.

Adding to 2232141000 its reverse (1412322), we get a palindrome (2233553322).

The spelling of 2232141000 in words is "two billion, two hundred thirty-two million, one hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 137 150 200 250 274 300 375 411 500 548 600 685 750 822 1000 1096 1370 1500 1644 2055 2740 3000 3288 3425 4110 5431 5480 6850 8220 10275 10862 13700 16293 16440 17125 20550 21724 27155 27400 32586 34250 41100 43448 51375 54310 65172 68500 81465 82200 102750 108620 130344 135775 137000 162930 205500 217240 271550 325860 407325 411000 543100 651720 678875 744047 814650 1086200 1357750 1488094 1629300 2036625 2232141 2715500 2976188 3258600 3720235 4073250 4464282 5431000 5952376 7440470 8146500 8928564 11160705 14880940 16293000 17857128 18601175 22321410 29761880 37202350 44642820 55803525 74404700 89285640 93005875 111607050 148809400 186011750 223214100 279017625 372023500 446428200 558035250 744047000 1116070500 2232141000