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1430022440 = 2357111373389
BaseRepresentation
bin101010100111100…
…0110100100101000
310200122211200000002
41111033012210220
510412041204230
6353522202132
750302663430
oct12517064450
93618750002
101430022440
11674235030
1233aab3348
1319a360a32
14d7cc92c0
1585825545
hex553c6928

1430022440 has 128 divisors (see below), whose sum is σ = 4041964800. Its totient is φ = 442337280.

The previous prime is 1430022379. The next prime is 1430022443. The reversal of 1430022440 is 442200341.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1430022443) 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, 420266 + ... + 423654.

It is an arithmetic number, because the mean of its divisors is an integer number (31577850).

Almost surely, 21430022440 is an apocalyptic number.

1430022440 is a gapful number since it is divisible by the number (10) 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 1430022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020982400).

1430022440 is an abundant number, since it is smaller than the sum of its proper divisors (2611942360).

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

1430022440 is a wasteful number, since it uses less digits than its factorization.

1430022440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1430022440 is about 37815.6375061958. The cubic root of 1430022440 is about 1126.6290644096.

Adding to 1430022440 its reverse (442200341), we get a palindrome (1872222781).

The spelling of 1430022440 in words is "one billion, four hundred thirty million, twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 137 140 154 220 274 280 308 385 440 548 616 685 770 959 1096 1370 1507 1540 1918 2740 3014 3080 3389 3836 4795 5480 6028 6778 7535 7672 9590 10549 12056 13556 15070 16945 19180 21098 23723 27112 30140 33890 37279 38360 42196 47446 52745 60280 67780 74558 84392 94892 105490 118615 135560 149116 186395 189784 210980 237230 260953 298232 372790 421960 464293 474460 521906 745580 928586 948920 1043812 1304765 1491160 1857172 2087624 2321465 2609530 3250051 3714344 4642930 5107223 5219060 6500102 9285860 10214446 10438120 13000204 16250255 18571720 20428892 25536115 26000408 32500510 35750561 40857784 51072230 65001020 71501122 102144460 130002040 143002244 178752805 204288920 286004488 357505610 715011220 1430022440