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20122322208 = 2533121113203
BaseRepresentation
bin10010101111011000…
…100100010100100000
31220221100200212202220
4102233120210110200
5312202303302313
613124415111040
71311435626262
oct225730442440
956840625686
1020122322208
11859658755a
123a96b12480
131b88b35841
14d8c647b32
157cb87e823
hex4af624520

20122322208 has 96 divisors (see below), whose sum is σ = 54567862272. Its totient is φ = 6485971200.

The previous prime is 20122322197. The next prime is 20122322243. The reversal of 20122322208 is 80222322102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 6280735 + ... + 6283937.

It is an arithmetic number, because the mean of its divisors is an integer number (568415232).

Almost surely, 220122322208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122322208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27283931136).

20122322208 is an abundant number, since it is smaller than the sum of its proper divisors (34445540064).

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

20122322208 is a wasteful number, since it uses less digits than its factorization.

20122322208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5358 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 20122322208 in words is "twenty billion, one hundred twenty-two million, three hundred twenty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2111 2976 3203 4222 6333 6406 8444 9609 12666 12812 16888 19218 25332 25624 33776 38436 50664 51248 65441 67552 76872 99293 101328 102496 130882 153744 196323 198586 202656 261764 297879 307488 392646 397172 523528 595758 785292 794344 1047056 1191516 1570584 1588688 2094112 2383032 3141168 3177376 4766064 6282336 6761533 9532128 13523066 20284599 27046132 40569198 54092264 81138396 108184528 162276792 209607523 216369056 324553584 419215046 628822569 649107168 838430092 1257645138 1676860184 2515290276 3353720368 5030580552 6707440736 10061161104 20122322208