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22948680 = 2335312199
BaseRepresentation
bin101011110001…
…0101101001000
31121011220200010
41113202231020
521333324210
62135511520
7366026526
oct127425510
947156603
1022948680
1111a54757
1278285a0
1349a6601
143095316
152034920
hex15e2b48

22948680 has 96 divisors (see below), whose sum is σ = 71496000. Its totient is φ = 5892480.

The previous prime is 22948669. The next prime is 22948693. The reversal of 22948680 is 8684922.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115221 + ... + 115419.

It is an arithmetic number, because the mean of its divisors is an integer number (744750).

Almost surely, 222948680 is an apocalyptic number.

22948680 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 22948680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35748000).

22948680 is an abundant number, since it is smaller than the sum of its proper divisors (48547320).

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

22948680 is a wasteful number, since it uses less digits than its factorization.

22948680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 240 counting only the distinct ones).

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

The square root of 22948680 is about 4790.4780554763. The cubic root of 22948680 is about 284.1750227111.

The spelling of 22948680 in words is "twenty-two million, nine hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 199 248 310 372 398 465 597 620 744 796 930 961 995 1194 1240 1592 1860 1922 1990 2388 2883 2985 3720 3844 3980 4776 4805 5766 5970 6169 7688 7960 9610 11532 11940 12338 14415 18507 19220 23064 23880 24676 28830 30845 37014 38440 49352 57660 61690 74028 92535 115320 123380 148056 185070 191239 246760 370140 382478 573717 740280 764956 956195 1147434 1529912 1912390 2294868 2868585 3824780 4589736 5737170 7649560 11474340 22948680