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2322955040 = 25574150587
BaseRepresentation
bin1000101001110101…
…0111101100100000
312222220001100020212
42022131113230200
514224134030130
61022300553252
7111364535450
oct21235275440
95886040225
102322955040
11a9227a55a
12549b52828
132b0351613
14180725d60
15d8e07e95
hex8a757b20

2322955040 has 96 divisors (see below), whose sum is σ = 6425080704. Its totient is φ = 777000960.

The previous prime is 2322955039. The next prime is 2322955069. The reversal of 2322955040 is 405592232.

It is a super-2 number, since 2×23229550402 = 10792240235722803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2322954988 and 2322955006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20627 + ... + 71213.

It is an arithmetic number, because the mean of its divisors is an integer number (66927924).

Almost surely, 22322955040 is an apocalyptic number.

2322955040 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 2322955040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212540352).

2322955040 is an abundant number, since it is smaller than the sum of its proper divisors (4102125664).

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

2322955040 is a wasteful number, since it uses less digits than its factorization.

2322955040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50650 (or 50642 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 2322955040 is about 48197.0438927534. The cubic root of 2322955040 is about 1324.3830121382.

The spelling of 2322955040 in words is "two billion, three hundred twenty-two million, nine hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 70 80 82 112 140 160 164 205 224 280 287 328 410 560 574 656 820 1120 1148 1312 1435 1640 2296 2870 3280 4592 5740 6560 9184 11480 22960 45920 50587 101174 202348 252935 354109 404696 505870 708218 809392 1011740 1416436 1618784 1770545 2023480 2074067 2832872 3541090 4046960 4148134 5665744 7082180 8093920 8296268 10370335 11331488 14164360 14518469 16592536 20740670 28328720 29036938 33185072 41481340 56657440 58073876 66370144 72592345 82962680 116147752 145184690 165925360 232295504 290369380 331850720 464591008 580738760 1161477520 2322955040