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22440066240 = 263523375069
BaseRepresentation
bin10100111001100010…
…000011110011000000
32010220212221110212110
4110321202003303000
5331424124104430
614150412255320
71423041262434
oct247142036300
963825843773
1022440066240
119575917999
124423171540
132168081307
14112c3b49c4
158b50a87b0
hex539883cc0

22440066240 has 56 divisors (see below), whose sum is σ = 71247213360. Its totient is φ = 5984017408.

The previous prime is 22440066239. The next prime is 22440066269. The reversal of 22440066240 is 4266004422.

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 = 22440066198 and 22440066207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11686575 + ... + 11688494.

Almost surely, 222440066240 is an apocalyptic number.

22440066240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22440066240 is an abundant number, since it is smaller than the sum of its proper divisors (48807147120).

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

22440066240 is a wasteful number, since it uses less digits than its factorization.

22440066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23375089 (or 23375079 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 22440066240 in words is "twenty-two billion, four hundred forty million, sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 23375069 46750138 70125207 93500276 116875345 140250414 187000552 233750690 280500828 350626035 374001104 467501380 561001656 701252070 748002208 935002760 1122003312 1402504140 1496004416 1870005520 2244006624 2805008280 3740011040 4488013248 5610016560 7480022080 11220033120 22440066240