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2222601016064 = 28111382373771
BaseRepresentation
bin100000010101111101010…
…110000001001100000000
321212110220212221002222112
4200111331112001030000
5242403341330003224
64421014313154452
7316402060631132
oct40257526011400
97773825832875
102222601016064
1178766636a960
122ba9086bba28
1313178a098720
1479808481052
153cc356ee30e
hex2057d581300

2222601016064 has 144 divisors (see below), whose sum is σ = 5218539212544. Its totient is φ = 931414118400.

The previous prime is 2222601016037. The next prime is 2222601016081. The reversal of 2222601016064 is 4606101062222.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2222601016064.

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, 30091499 + ... + 30165269.

Almost surely, 22222601016064 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 2222601016064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609269606272).

2222601016064 is an abundant number, since it is smaller than the sum of its proper divisors (2995938196480).

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

2222601016064 is a wasteful number, since it uses less digits than its factorization.

2222601016064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74634 (or 74620 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 2222601016064 its reverse (4606101062222), we get a palindrome (6828702078286).

The spelling of 2222601016064 in words is "two trillion, two hundred twenty-two billion, six hundred one million, sixteen thousand, sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 572 704 823 832 1144 1408 1646 1664 2288 2816 3292 3328 4576 6584 9053 9152 10699 13168 18106 18304 21398 26336 36212 36608 42796 52672 72424 73771 85592 105344 117689 144848 147542 171184 210688 235378 289696 295084 342368 470756 579392 590168 684736 811481 941512 959023 1158784 1180336 1369472 1622962 1883024 1918046 2317568 2360672 2738944 3245924 3766048 3836092 4721344 6491848 7532096 7672184 9442688 10549253 12983696 15064192 15344368 18885376 21098506 25967392 30128384 30688736 42197012 51934784 60713533 61377472 84394024 103869568 121427066 122754944 168788048 207739136 242854132 245509888 337576096 485708264 667848863 675152192 789275929 971416528 1335697726 1350304384 1578551858 1942833056 2671395452 2700608768 3157103716 3885666112 5342790904 6314207432 7771332224 8682035219 10685581808 12628414864 15542664448 17364070438 21371163616 25256829728 34728140876 42742327232 50513659456 69456281752 85484654464 101027318912 138912563504 170969308928 202054637824 277825127008 555650254016 1111300508032 2222601016064