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117223040 = 2751116651
BaseRepresentation
bin1101111110010…
…10111010000000
322011120112210002
412333022322000
5220002114130
615344255132
72622244064
oct677127200
9264515702
10117223040
1160195450
12333114a8
131b393c5c
14117d5aa4
15a457b45
hex6fcae80

117223040 has 64 divisors (see below), whose sum is σ = 305730720. Its totient is φ = 42624000.

The previous prime is 117223037. The next prime is 117223049. The reversal of 117223040 is 40322711.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1172230402 = 27482482213683200, which contains 22 as substring.

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 (117223049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1286 + ... + 15365.

Almost surely, 2117223040 is an apocalyptic number.

117223040 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 117223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152865360).

117223040 is an abundant number, since it is smaller than the sum of its proper divisors (188507680).

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

117223040 is a wasteful number, since it uses less digits than its factorization.

117223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16681 (or 16669 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 117223040 is about 10826.9589451517. The cubic root of 117223040 is about 489.4079201534.

Adding to 117223040 its reverse (40322711), we get a palindrome (157545751).

The spelling of 117223040 in words is "one hundred seventeen million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 16651 33302 66604 83255 133208 166510 183161 266416 333020 366322 532832 666040 732644 915805 1065664 1332080 1465288 1831610 2131328 2664160 2930576 3663220 5328320 5861152 7326440 10656640 11722304 14652880 23444608 29305760 58611520 117223040