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4220090688 = 2631111531733
BaseRepresentation
bin1111101110001001…
…0111100101000000
3101220002211211010010
43323202113211000
532120320400223
61534431104520
7206402115252
oct37342274500
911802754103
104220090688
111876149660
12999372140
135233c14a8
142c0685cd2
1519a74c393
hexfb897940

4220090688 has 112 divisors (see below), whose sum is σ = 12198315456. Its totient is φ = 1276968960.

The previous prime is 4220090671. The next prime is 4220090711. The reversal of 4220090688 is 8860900224.

4220090688 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 2434270 + ... + 2436002.

Almost surely, 24220090688 is an apocalyptic number.

4220090688 is a gapful number since it is divisible by the number (48) 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 4220090688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099157728).

4220090688 is an abundant number, since it is smaller than the sum of its proper divisors (7978224768).

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

4220090688 is a wasteful number, since it uses less digits than its factorization.

4220090688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 4220090688 is about 64962.2250850446. The cubic root of 4220090688 is about 1615.9971653056.

The spelling of 4220090688 in words is "four billion, two hundred twenty million, ninety thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1153 1733 2112 2306 3459 3466 4612 5199 6918 6932 9224 10398 12683 13836 13864 18448 19063 20796 25366 27672 27728 36896 38049 38126 41592 50732 55344 55456 57189 73792 76098 76252 83184 101464 110688 110912 114378 152196 152504 166368 202928 221376 228756 304392 305008 332736 405856 457512 608784 610016 811712 915024 1217568 1220032 1830048 1998149 2435136 3660096 3996298 5994447 7992596 11988894 15985192 21979639 23977788 31970384 43959278 47955576 63940768 65938917 87918556 95911152 127881536 131877834 175837112 191822304 263755668 351674224 383644608 527511336 703348448 1055022672 1406696896 2110045344 4220090688