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10222231440 = 243559721909
BaseRepresentation
bin10011000010100101…
…01101111110010000
3222101101221011100110
421201102231332100
5131413342401230
64410201521320
7511213351011
oct114122557620
928341834313
1010222231440
114376201863
121b934a3240
13c6ba59775
146cd891008
153ec6594b0
hex2614adf90

10222231440 has 80 divisors (see below), whose sum is σ = 32226062400. Its totient is φ = 2679722496.

The previous prime is 10222231433. The next prime is 10222231441. The reversal of 10222231440 is 4413222201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102222314402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10222231441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346795 + ... + 375114.

It is an arithmetic number, because the mean of its divisors is an integer number (402825780).

Almost surely, 210222231440 is an apocalyptic number.

10222231440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222231440 is an abundant number, since it is smaller than the sum of its proper divisors (22003830960).

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

10222231440 is a wasteful number, since it uses less digits than its factorization.

10222231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721984 (or 721978 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10222231440 its reverse (4413222201), we get a palindrome (14635453641).

The spelling of 10222231440 in words is "ten billion, two hundred twenty-two million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2832 3540 4720 7080 14160 721909 1443818 2165727 2887636 3609545 4331454 5775272 7219090 8662908 10828635 11550544 14438180 17325816 21657270 28876360 34651632 42592631 43314540 57752720 85185262 86629080 127777893 170370524 173258160 212963155 255555786 340741048 425926310 511111572 638889465 681482096 851852620 1022223144 1277778930 1703705240 2044446288 2555557860 3407410480 5111115720 10222231440