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20205220152 = 23313353383479
BaseRepresentation
bin10010110100010100…
…110011000100111000
31221011010200112101010
4102310110303010320
5312340014021102
613140535553520
71313463352245
oct226424630470
957133615333
1020205220152
118629357a57
123aba82b8a0
131ba006bc90
14d996665cc
157d3ca6d6c
hex4b4533138

20205220152 has 128 divisors (see below), whose sum is σ = 54809395200. Its totient is φ = 6170284032.

The previous prime is 20205220039. The next prime is 20205220153. The reversal of 20205220152 is 25102250202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20205220153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42181849 + ... + 42182327.

It is an arithmetic number, because the mean of its divisors is an integer number (428198400).

Almost surely, 220205220152 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 20205220152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27404697600).

20205220152 is an abundant number, since it is smaller than the sum of its proper divisors (34604175048).

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

20205220152 is a wasteful number, since it uses less digits than its factorization.

20205220152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 20205220152 its reverse (25102250202), we get a palindrome (45307470354).

The spelling of 20205220152 in words is "twenty billion, two hundred five million, two hundred twenty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 353 383 479 706 766 958 1059 1149 1412 1437 1532 1916 2118 2298 2824 2874 3064 3832 4236 4589 4596 4979 5748 6227 8472 9178 9192 9958 11496 12454 13767 14937 18356 18681 19916 24908 27534 29874 36712 37362 39832 49816 55068 59748 74724 110136 119496 135199 149448 169087 183457 270398 338174 366914 405597 507261 540796 550371 676348 733828 811194 1014522 1081592 1100742 1352696 1467656 1622388 1757587 2029044 2198131 2201484 2384941 3244776 3515174 4058088 4396262 4402968 4769882 5272761 6594393 7030348 7154823 8792524 9539764 10545522 13188786 14060696 14309646 17585048 19079528 21091044 26377572 28619292 42182088 52755144 57238584 64760321 129520642 194280963 259041284 388561926 518082568 777123852 841884173 1554247704 1683768346 2525652519 3367536692 5051305038 6735073384 10102610076 20205220152