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21794854224 = 243111329310837
BaseRepresentation
bin10100010011000100…
…110001010101010000
32002020220212022101010
4110103010301111100
5324113440313344
614002403210520
71401045130023
oct242304612520
962226768333
1021794854224
119274699620
124283076a40
1320944b5760
1410aa81d1ba
158786098b9
hex513131550

21794854224 has 160 divisors (see below), whose sum is σ = 66378501504. Its totient is φ = 6075095040.

The previous prime is 21794854157. The next prime is 21794854259. The reversal of 21794854224 is 42245849712.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2005734 + ... + 2016570.

Almost surely, 221794854224 is an apocalyptic number.

21794854224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21794854224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33189250752).

21794854224 is an abundant number, since it is smaller than the sum of its proper divisors (44583647280).

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

21794854224 is a wasteful number, since it uses less digits than its factorization.

21794854224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11165 (or 11159 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The spelling of 21794854224 in words is "twenty-one billion, seven hundred ninety-four million, eight hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 293 312 429 528 572 586 624 858 879 1144 1172 1716 1758 2288 2344 3223 3432 3516 3809 4688 6446 6864 7032 7618 9669 10837 11427 12892 14064 15236 19338 21674 22854 25784 30472 32511 38676 41899 43348 45708 51568 60944 65022 77352 83798 86696 91416 119207 125697 130044 140881 154704 167596 173392 182832 238414 251394 260088 281762 335192 357621 422643 476828 502788 520176 563524 670384 715242 845286 953656 1005576 1127048 1430484 1549691 1690572 1907312 2011152 2254096 2860968 3099382 3175241 3381144 4649073 5721936 6198764 6350482 6762288 9298146 9525723 12397528 12700964 18596292 19051446 24795056 25401928 34927651 37192584 38102892 41278133 50803856 69855302 74385168 76205784 82556266 104782953 123834399 139710604 152411568 165112532 209565906 247668798 279421208 330225064 419131812 454059463 495337596 558842416 660450128 838263624 908118926 990675192 1362178389 1676527248 1816237852 1981350384 2724356778 3632475704 5448713556 7264951408 10897427112 21794854224