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22089093376 = 287213272
BaseRepresentation
bin10100100100100111…
…001101000100000000
32010000102112012121111
4110210213031010000
5330214301442001
614051513533104
71411250124100
oct244447150400
963012465544
1022089093376
119405798879
124345714194
13211044736c
1410d7933200
1589437b851
hex5249cd100

22089093376 has 81 divisors (see below), whose sum is σ = 51329259639. Its totient is φ = 9459620352.

The previous prime is 22089093353. The next prime is 22089093409. The reversal of 22089093376 is 67339098022.

The square root of 22089093376 is 148624.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×220890933763 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16645225 + ... + 16646551.

Almost surely, 222089093376 is an apocalyptic number.

22089093376 is the 148624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22089093376

22089093376 is an abundant number, since it is smaller than the sum of its proper divisors (29240166263).

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

22089093376 is an frugal number, since it uses more digits than its factorization.

22089093376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

Multiplying 22089093376 by its sum of digits (49), we get a square (1082365575424 = 10403682).

22089093376 divided by its sum of digits (49) gives a square (450797824 = 212322).

The spelling of 22089093376 in words is "twenty-two billion, eighty-nine million, ninety-three thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1327 1568 1792 2654 3136 5308 6272 9289 10616 12544 18578 21232 37156 42464 65023 74312 84928 130046 148624 169856 260092 297248 339712 520184 594496 1040368 1188992 1760929 2080736 2377984 3521858 4161472 7043716 8322944 12326503 14087432 16645888 24653006 28174864 49306012 56349728 86285521 98612024 112699456 172571042 197224048 225398912 345142084 394448096 450797824 690284168 788896192 1380568336 1577792384 2761136672 3155584768 5522273344 11044546688 22089093376