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2274386850 = 234524113697
BaseRepresentation
bin1000011110010000…
…0110001110100010
312212111122211020000
42013210012032202
514124220334400
61013404000430
7110234653311
oct20744061642
95774584200
102274386850
11a6791755a
12535830116
132a3277b48
141780c2278
15d4a12600
hex879063a2

2274386850 has 120 divisors (see below), whose sum is σ = 6474030948. Its totient is φ = 591667200.

The previous prime is 2274386819. The next prime is 2274386879. The reversal of 2274386850 is 586834722.

It can be written as a sum of positive squares in 6 ways, for example, as 5103081 + 2269283769 = 2259^2 + 47637^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2274386796 and 2274386805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 159202 + ... + 172898.

Almost surely, 22274386850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2274386850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237015474).

2274386850 is an abundant number, since it is smaller than the sum of its proper divisors (4199644098).

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

2274386850 is a wasteful number, since it uses less digits than its factorization.

2274386850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13762 (or 13748 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2274386850 is about 47690.5320792293. The cubic root of 2274386850 is about 1315.0878899556.

The spelling of 2274386850 in words is "two billion, two hundred seventy-four million, three hundred eighty-six thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 41 45 50 54 75 81 82 90 123 135 150 162 205 225 246 270 369 405 410 450 615 675 738 810 1025 1107 1230 1350 1845 2025 2050 2214 3075 3321 3690 4050 5535 6150 6642 9225 11070 13697 16605 18450 27394 27675 33210 41091 55350 68485 82182 83025 123273 136970 166050 205455 246546 342425 369819 410910 561577 616365 684850 739638 1027275 1109457 1123154 1232730 1684731 1849095 2054550 2218914 2807885 3081825 3369462 3698190 5054193 5547285 5615770 6163650 8423655 9245475 10108386 11094570 14039425 15162579 16847310 18490950 25270965 27736425 28078850 30325158 42118275 45487737 50541930 55472850 75812895 84236550 90975474 126354825 151625790 227438685 252709650 379064475 454877370 758128950 1137193425 2274386850