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220122445104 = 2433985951683
BaseRepresentation
bin1100110100000001010…
…0011111010100110000
3210001011201012210212000
43031000110133110300
512101302321220404
6245042311534000
721621560624502
oct3150024372460
9701151183760
10220122445104
1185398422021
12367b268a300
13179b0198923
14a92275bd72
155ad4d2a339
hex334051f530

220122445104 has 80 divisors (see below), whose sum is σ = 631909257600. Its totient is φ = 73365286464.

The previous prime is 220122445099. The next prime is 220122445117. The reversal of 220122445104 is 401544221022.

It is a happy number.

220122445104 is a `hidden beast` number, since 2 + 20 + 122 + 4 + 4 + 510 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4233247 + ... + 4284929.

It is an arithmetic number, because the mean of its divisors is an integer number (7898865720).

Almost surely, 2220122445104 is an apocalyptic number.

220122445104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220122445104 is an abundant number, since it is smaller than the sum of its proper divisors (411786812496).

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

220122445104 is a wasteful number, since it uses less digits than its factorization.

220122445104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61559 (or 61547 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 220122445104 its reverse (401544221022), we get a palindrome (621666666126).

The spelling of 220122445104 in words is "two hundred twenty billion, one hundred twenty-two million, four hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 9859 19718 29577 39436 51683 59154 78872 88731 103366 118308 155049 157744 177462 206732 236616 266193 310098 354924 413464 465147 473232 532386 620196 709848 826928 930294 1064772 1240392 1395441 1419696 1860588 2129544 2480784 2790882 3721176 4259088 5581764 7442352 11163528 22327056 509542697 1019085394 1528628091 2038170788 3057256182 4076341576 4585884273 6114512364 8152683152 9171768546 12229024728 13757652819 18343537092 24458049456 27515305638 36687074184 55030611276 73374148368 110061222552 220122445104