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3522023440 = 245139734913
BaseRepresentation
bin1101000111101101…
…1101000000010000
3100002110022022212121
43101323131000100
524203114222230
61341253104024
7153164463625
oct32173350020
910073268777
103522023440
1115480aa381
12823628014
134418aaa50
14255a9234c
1515930c77a
hexd1edd010

3522023440 has 80 divisors (see below), whose sum is σ = 8909773488. Its totient is φ = 1286995968.

The previous prime is 3522023413. The next prime is 3522023459. The reversal of 3522023440 is 443202253.

It can be written as a sum of positive squares in 8 ways, for example, as 308494096 + 3213529344 = 17564^2 + 56688^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×35220234402 = 24809298223818867200, which contains 22 as substring.

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, 83424 + ... + 118336.

Almost surely, 23522023440 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 3522023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454886744).

3522023440 is an abundant number, since it is smaller than the sum of its proper divisors (5387750048).

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

3522023440 is a wasteful number, since it uses less digits than its factorization.

3522023440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35036 (or 35030 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 3522023440 is about 59346.6379839667. The cubic root of 3522023440 is about 1521.4724074910.

Adding to 3522023440 its reverse (443202253), we get a palindrome (3965225693).

The spelling of 3522023440 in words is "three billion, five hundred twenty-two million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 97 104 130 194 208 260 388 485 520 776 970 1040 1261 1552 1940 2522 3880 5044 6305 7760 10088 12610 20176 25220 34913 50440 69826 100880 139652 174565 279304 349130 453869 558608 698260 907738 1396520 1815476 2269345 2793040 3386561 3630952 4538690 6773122 7261904 9077380 13546244 16932805 18154760 27092488 33865610 36309520 44025293 54184976 67731220 88050586 135462440 176101172 220126465 270924880 352202344 440252930 704404688 880505860 1761011720 3522023440