Search a number
-
+
22233653760 = 293523912113
BaseRepresentation
bin10100101101001110…
…101010001000000000
32010101111112122011210
4110231032222020000
5331013303410020
614114120210120
71414653636663
oct245516521000
963344478153
1022233653760
11947a35516a
124386009940
132134390356
14110cc036da
158a1dd43e0
hex52d3aa200

22233653760 has 160 divisors (see below), whose sum is σ = 71381502720. Its totient is φ = 5903679488.

The previous prime is 22233653699. The next prime is 22233653773. The reversal of 22233653760 is 6735633222.

It is a tau number, because it is divible by the number of its divisors (160).

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 15 ways as a sum of consecutive naturals, for example, 1829464 + ... + 1841576.

It is an arithmetic number, because the mean of its divisors is an integer number (446134392).

Almost surely, 222233653760 is an apocalyptic number.

22233653760 is a gapful number since it is divisible by the number (20) 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 22233653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35690751360).

22233653760 is an abundant number, since it is smaller than the sum of its proper divisors (49147848960).

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

22233653760 is a wasteful number, since it uses less digits than its factorization.

22233653760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12378 (or 12362 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 39.

The spelling of 22233653760 in words is "twenty-two billion, two hundred thirty-three million, six hundred fifty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 239 240 256 320 384 478 480 512 640 717 768 956 960 1195 1280 1434 1536 1912 1920 2390 2560 2868 3585 3824 3840 4780 5736 7170 7648 7680 9560 11472 12113 14340 15296 19120 22944 24226 28680 30592 36339 38240 45888 48452 57360 60565 61184 72678 76480 91776 96904 114720 121130 122368 145356 152960 181695 183552 193808 229440 242260 290712 305920 363390 367104 387616 458880 484520 581424 611840 726780 775232 917760 969040 1162848 1453560 1550464 1835520 1938080 2325696 2895007 2907120 3100928 3876160 4651392 5790014 5814240 6201856 7752320 8685021 9302784 11580028 11628480 14475035 15504640 17370042 18605568 23160056 23256960 28950070 31009280 34740084 43425105 46320112 46513920 57900140 69480168 86850210 92640224 93027840 115800280 138960336 173700420 185280448 231600560 277920672 347400840 370560896 463201120 555841344 694801680 741121792 926402240 1111682688 1389603360 1482243584 1852804480 2223365376 2779206720 3705608960 4446730752 5558413440 7411217920 11116826880 22233653760