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2194246920 = 2335192341843
BaseRepresentation
bin1000001011001001…
…1000110100001000
312122220212021220110
42002302120310020
513443211400140
61001422154320
7105242535225
oct20262306410
95586767813
102194246920
11a26660208
12512a229a0
1328c798b78
1416b5c094c
15cc982380
hex82c98d08

2194246920 has 128 divisors (see below), whose sum is σ = 7230643200. Its totient is φ = 530221824.

The previous prime is 2194246909. The next prime is 2194246931. The reversal of 2194246920 is 296424912.

It is an interprime number because it is at equal distance from previous prime (2194246909) and next prime (2194246931).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31519 + ... + 73361.

It is an arithmetic number, because the mean of its divisors is an integer number (56489400).

Almost surely, 22194246920 is an apocalyptic number.

2194246920 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 2194246920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615321600).

2194246920 is an abundant number, since it is smaller than the sum of its proper divisors (5036396280).

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

2194246920 is a wasteful number, since it uses less digits than its factorization.

2194246920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41899 (or 41895 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2194246920 is about 46842.7894130996. The cubic root of 2194246920 is about 1299.4567592168.

The spelling of 2194246920 in words is "two billion, one hundred ninety-four million, two hundred forty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 23 24 30 38 40 46 57 60 69 76 92 95 114 115 120 138 152 184 190 228 230 276 285 345 380 437 456 460 552 570 690 760 874 920 1140 1311 1380 1748 2185 2280 2622 2760 3496 4370 5244 6555 8740 10488 13110 17480 26220 41843 52440 83686 125529 167372 209215 251058 334744 418430 502116 627645 795017 836860 962389 1004232 1255290 1590034 1673720 1924778 2385051 2510580 2887167 3180068 3849556 3975085 4770102 4811945 5021160 5774334 6360136 7699112 7950170 9540204 9623890 11548668 11925255 14435835 15900340 18285391 19080408 19247780 23097336 23850510 28871670 31800680 36570782 38495560 47701020 54856173 57743340 73141564 91426955 95402040 109712346 115486680 146283128 182853910 219424692 274280865 365707820 438849384 548561730 731415640 1097123460 2194246920