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2141222040 = 233456411031
BaseRepresentation
bin111111110100000…
…0111010010011000
312112020002100110000
41333220013102120
513341123101130
6552245453000
7104030041566
oct17750072230
95466070400
102141222040
119a97338a1
124b9111160
132817c19b9
1416453aa36
15c7eab260
hex7fa07498

2141222040 has 160 divisors (see below), whose sum is σ = 7215104160. Its totient is φ = 569548800.

The previous prime is 2141222033. The next prime is 2141222071. The reversal of 2141222040 is 402221412.

2141222040 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2076325 + ... + 2077355.

It is an arithmetic number, because the mean of its divisors is an integer number (45094401).

Almost surely, 22141222040 is an apocalyptic number.

2141222040 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 2141222040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607552080).

2141222040 is an abundant number, since it is smaller than the sum of its proper divisors (5073882120).

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

2141222040 is a wasteful number, since it uses less digits than its factorization.

2141222040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2141222040 is about 46273.3404888819. The cubic root of 2141222040 is about 1288.9039906519.

Adding to 2141222040 its reverse (402221412), we get a palindrome (2543443452).

The spelling of 2141222040 in words is "two billion, one hundred forty-one million, two hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 641 648 810 1031 1080 1282 1620 1923 2062 2564 3093 3205 3240 3846 4124 5128 5155 5769 6186 6410 7692 8248 9279 9615 10310 11538 12372 12820 15384 15465 17307 18558 19230 20620 23076 24744 25640 27837 28845 30930 34614 37116 38460 41240 46152 46395 51921 55674 57690 61860 69228 74232 76920 83511 86535 92790 103842 111348 115380 123720 138456 139185 167022 173070 185580 207684 222696 230760 259605 278370 334044 346140 371160 415368 417555 519210 556740 660871 668088 692280 835110 1038420 1113480 1321742 1670220 1982613 2076840 2643484 3304355 3340440 3965226 5286968 5947839 6608710 7930452 9913065 11895678 13217420 15860904 17843517 19826130 23791356 26434840 29739195 35687034 39652260 47582712 53530551 59478390 71374068 79304520 89217585 107061102 118956780 142748136 178435170 214122204 237913560 267652755 356870340 428244408 535305510 713740680 1070611020 2141222040