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20430221040 = 24325231233709
BaseRepresentation
bin10011000001101111…
…000110111011110000
31221201211001202120100
4103001233012323300
5313320114033130
613215134312400
71322165004435
oct230157067360
957654052510
1020430221040
1187343664a9
123b62058700
131c0786a9b8
14dbb4b5b8c
157e88edc60
hex4c1bc6ef0

20430221040 has 120 divisors (see below), whose sum is σ = 71594658720. Its totient is φ = 5211182592.

The previous prime is 20430221039. The next prime is 20430221041. The reversal of 20430221040 is 4012203402.

20430221040 is a `hidden beast` number, since 20 + 430 + 2 + 210 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20430221039) and next prime (20430221041).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20430221041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600295 + ... + 633414.

It is an arithmetic number, because the mean of its divisors is an integer number (596622156).

Almost surely, 220430221040 is an apocalyptic number.

20430221040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20430221040 is an abundant number, since it is smaller than the sum of its proper divisors (51164437680).

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

20430221040 is a wasteful number, since it uses less digits than its factorization.

20430221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233751 (or 1233742 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20430221040 its reverse (4012203402), we get a palindrome (24442424442).

The spelling of 20430221040 in words is "twenty billion, four hundred thirty million, two hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 16560 1233709 2467418 3701127 4934836 6168545 7402254 9869672 11103381 12337090 14804508 18505635 19739344 22206762 24674180 28375307 29609016 37011270 44413524 49348360 55516905 56750614 59218032 74022540 85125921 88827048 98696720 111033810 113501228 141876535 148045080 170251842 177654096 222067620 227002456 255377763 283753070 296090160 340503684 425629605 444135240 454004912 510755526 567506140 681007368 851259210 888270480 1021511052 1135012280 1276888815 1362014736 1702518420 2043022104 2270024560 2553777630 3405036840 4086044208 5107555260 6810073680 10215110520 20430221040