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2324194920 = 2332525725121
BaseRepresentation
bin1000101010001000…
…0110011001101000
312222222101100001100
42022202012121220
514224443214140
61022343321400
7111411221325
oct21242063150
95888340040
102324194920
11a92a47053
1254a450260
132b0696a88
14180969b4c
15d90a0530
hex8a886668

2324194920 has 96 divisors (see below), whose sum is σ = 7583326920. Its totient is φ = 617349120.

The previous prime is 2324194907. The next prime is 2324194987. The reversal of 2324194920 is 294914232.

2324194920 is a `hidden beast` number, since 232 + 419 + 4 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2267854884 + 56340036 = 47622^2 + 7506^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 79960 + ... + 105080.

Almost surely, 22324194920 is an apocalyptic number.

2324194920 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 2324194920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791663460).

2324194920 is an abundant number, since it is smaller than the sum of its proper divisors (5259132000).

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

2324194920 is a wasteful number, since it uses less digits than its factorization.

2324194920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25395 (or 25388 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2324194920 is about 48209.9047914430. The cubic root of 2324194920 is about 1324.6186005611.

The spelling of 2324194920 in words is "two billion, three hundred twenty-four million, one hundred ninety-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 257 360 514 771 1028 1285 1542 2056 2313 2570 3084 3855 4626 5140 6168 7710 9252 10280 11565 15420 18504 23130 25121 30840 46260 50242 75363 92520 100484 125605 150726 200968 226089 251210 301452 376815 452178 502420 602904 753630 904356 1004840 1130445 1507260 1808712 2260890 3014520 4521780 6456097 9043560 12912194 19368291 25824388 32280485 38736582 51648776 58104873 64560970 77473164 96841455 116209746 129121940 154946328 193682910 232419492 258243880 290524365 387365820 464838984 581048730 774731640 1162097460 2324194920