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2274450920 = 235771191599
BaseRepresentation
bin1000011110010001…
…0101110111101000
312212111210002002222
42013210111313220
514124224412140
61013405213212
7110235341150
oct20744256750
95774702088
102274450920
11a67960705
12535861208
132a329b061
141780db760
15d4a265b5
hex87915de8

2274450920 has 128 divisors (see below), whose sum is σ = 5971968000. Its totient is φ = 763526400.

The previous prime is 2274450911. The next prime is 2274450929. The reversal of 2274450920 is 290544722.

2274450920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2274450911) and next prime (2274450929).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (2274450929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3796781 + ... + 3797379.

It is an arithmetic number, because the mean of its divisors is an integer number (46656000).

Almost surely, 22274450920 is an apocalyptic number.

2274450920 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 2274450920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985984000).

2274450920 is an abundant number, since it is smaller than the sum of its proper divisors (3697517080).

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

2274450920 is a wasteful number, since it uses less digits than its factorization.

2274450920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 2274450920 is about 47691.2038011204. The cubic root of 2274450920 is about 1315.1002386157.

The spelling of 2274450920 in words is "two billion, two hundred seventy-four million, four hundred fifty thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 71 140 142 191 280 284 355 382 497 568 599 710 764 955 994 1198 1337 1420 1528 1910 1988 2396 2485 2674 2840 2995 3820 3976 4193 4792 4970 5348 5990 6685 7640 8386 9940 10696 11980 13370 13561 16772 19880 20965 23960 26740 27122 33544 41930 42529 53480 54244 67805 83860 85058 94927 108488 114409 135610 167720 170116 189854 212645 228818 271220 297703 340232 379708 425290 457636 474635 542440 572045 595406 759416 800863 850580 915272 949270 1144090 1190812 1488515 1601726 1701160 1898540 2288180 2381624 2977030 3203452 3797080 4004315 4576360 5954060 6406904 8008630 8123039 11908120 16017260 16246078 32034520 32492156 40615195 56861273 64984312 81230390 113722546 162460780 227445092 284306365 324921560 454890184 568612730 1137225460 2274450920