Search a number
-
+
22025400303240 = 23325311196725619
BaseRepresentation
bin1010000001000001100000…
…01010010011111010001000
32212222121102000110110020200
411000200300022103322020
510341331004434200430
6114502155035452200
74432165644365115
oct500406012237210
985877360413220
1022025400303240
117021a132a7674
122578805bb7060
13c39ca8c9ac29
1456206c2d790c
15282de7c59460
hex140830293e88

22025400303240 has 96 divisors (see below), whose sum is σ = 71812720324800. Its totient is φ = 5854554391680.

The previous prime is 22025400303227. The next prime is 22025400303293. The reversal of 22025400303240 is 4230300452022.

It is a happy number.

22025400303240 is a `hidden beast` number, since 2 + 20 + 2 + 540 + 0 + 30 + 32 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98250850 + ... + 98474769.

It is an arithmetic number, because the mean of its divisors is an integer number (748049170050).

Almost surely, 222025400303240 is an apocalyptic number.

22025400303240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22025400303240 is an abundant number, since it is smaller than the sum of its proper divisors (49787320021560).

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

22025400303240 is a wasteful number, since it uses less digits than its factorization.

22025400303240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196725947 (or 196725940 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 22025400303240 its reverse (4230300452022), we get a palindrome (26255700755262).

The spelling of 22025400303240 in words is "twenty-two trillion, twenty-five billion, four hundred million, three hundred three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 311 360 622 933 1244 1555 1866 2488 2799 3110 3732 4665 5598 6220 7464 9330 11196 12440 13995 18660 22392 27990 37320 55980 111960 196725619 393451238 590176857 786902476 983628095 1180353714 1573804952 1770530571 1967256190 2360707428 2950884285 3541061142 3934512380 4721414856 5901768570 7082122284 7869024760 8852652855 11803537140 14164244568 17705305710 23607074280 35410611420 61181667509 70821222840 122363335018 183545002527 244726670036 305908337545 367090005054 489453340072 550635007581 611816675090 734180010108 917725012635 1101270015162 1223633350180 1468360020216 1835450025270 2202540030324 2447266700360 2753175037905 3670900050540 4405080060648 5506350075810 7341800101080 11012700151620 22025400303240