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22343300343040 = 285129731345541
BaseRepresentation
bin1010001010010001101000…
…11110101110010100000000
32221002222222000110201101211
411011020310132232110000
510412033034341434130
6115304212004535504
74464151545214435
oct505106436562400
987088860421354
1022343300343040
117134816611796
12260a3460b1594
13c60c6c3cb761
145735c8885b8c
1528b301b28a2a
hex1452347ae500

22343300343040 has 72 divisors (see below), whose sum is σ = 53523351809928. Its totient is φ = 8936624578560.

The previous prime is 22343300343019. The next prime is 22343300343043. The reversal of 22343300343040 is 4034300334322.

It can be written as a sum of positive squares in 4 ways, for example, as 3237869150464 + 19105431192576 = 1799408^2 + 4370976^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22343300342993 and 22343300343011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22343300343043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15932670 + ... + 17278210.

It is an arithmetic number, because the mean of its divisors is an integer number (743379886249).

Almost surely, 222343300343040 is an apocalyptic number.

22343300343040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22343300343040 is an abundant number, since it is smaller than the sum of its proper divisors (31180051466888).

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

22343300343040 is a wasteful number, since it uses less digits than its factorization.

22343300343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358535 (or 1358521 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 31.

Adding to 22343300343040 its reverse (4034300334322), we get a palindrome (26377600677362).

The spelling of 22343300343040 in words is "twenty-two trillion, three hundred forty-three billion, three hundred million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 12973 25946 51892 64865 103784 129730 207568 259460 415136 518920 830272 1037840 1345541 1660544 2075680 2691082 3321088 4151360 5382164 6727705 8302720 10764328 13455410 16605440 21528656 26910820 43057312 53821640 86114624 107643280 172229248 215286560 344458496 430573120 861146240 1722292480 17455703393 34911406786 69822813572 87278516965 139645627144 174557033930 279291254288 349114067860 558582508576 698228135720 1117165017152 1396456271440 2234330034304 2792912542880 4468660068608 5585825085760 11171650171520 22343300343040