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22325435040 = 2535118139383
BaseRepresentation
bin10100110010101100…
…110001101010100000
32010121220020121102110
4110302230301222200
5331210302410130
614131155315320
71420150031616
oct246254615240
963556217373
1022325435040
119517142867
1243b08abb40
13214a3b6cbc
14111b0956b6
158a9eb3ab0
hex532b31aa0

22325435040 has 96 divisors (see below), whose sum is σ = 70386454656. Its totient is φ = 5948257280.

The previous prime is 22325434991. The next prime is 22325435051. The reversal of 22325435040 is 4053452322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×223254350403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22325434989 and 22325435007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547189 + ... + 586571.

It is an arithmetic number, because the mean of its divisors is an integer number (733192236).

Almost surely, 222325435040 is an apocalyptic number.

22325435040 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 22325435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35193227328).

22325435040 is an abundant number, since it is smaller than the sum of its proper divisors (48061019616).

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

22325435040 is a wasteful number, since it uses less digits than its factorization.

22325435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40582 (or 40574 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 22325435040 its reverse (4053452322), we get a palindrome (26378887362).

The spelling of 22325435040 in words is "twenty-two billion, three hundred twenty-five million, four hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1181 2362 3543 4724 5905 7086 9448 11810 14172 17715 18896 23620 28344 35430 37792 39383 47240 56688 70860 78766 94480 113376 118149 141720 157532 188960 196915 236298 283440 315064 393830 472596 566880 590745 630128 787660 945192 1181490 1260256 1575320 1890384 2362980 3150640 3780768 4725960 6301280 9451920 18903840 46511323 93022646 139533969 186045292 232556615 279067938 372090584 465113230 558135876 697669845 744181168 930226460 1116271752 1395339690 1488362336 1860452920 2232543504 2790679380 3720905840 4465087008 5581358760 7441811680 11162717520 22325435040