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22980330 = 23253767103
BaseRepresentation
bin101011110101…
…0011011101010
31121020112002100
41113222123222
521340332310
62140314230
7366221022
oct127523352
947215070
1022980330
1111a7650a
127842976
1349b7b39
1430a2a82
15203dec0
hex15ea6ea

22980330 has 96 divisors (see below), whose sum is σ = 62884224. Its totient is φ = 5816448.

The previous prime is 22980319. The next prime is 22980341. The reversal of 22980330 is 3308922.

It is an interprime number because it is at equal distance from previous prime (22980319) and next prime (22980341).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22980294 and 22980303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223059 + ... + 223161.

It is an arithmetic number, because the mean of its divisors is an integer number (655044).

Almost surely, 222980330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22980330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31442112).

22980330 is an abundant number, since it is smaller than the sum of its proper divisors (39903894).

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

22980330 is a wasteful number, since it uses less digits than its factorization.

22980330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 22980330 is about 4793.7803454059. The cubic root of 22980330 is about 284.3056040465.

The spelling of 22980330 in words is "twenty-two million, nine hundred eighty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 67 74 90 103 111 134 185 201 206 222 309 333 335 370 402 515 555 603 618 666 670 927 1005 1030 1110 1206 1545 1665 1854 2010 2479 3015 3090 3330 3811 4635 4958 6030 6901 7437 7622 9270 11433 12395 13802 14874 19055 20703 22311 22866 24790 34299 34505 37185 38110 41406 44622 57165 62109 68598 69010 74370 103515 111555 114330 124218 171495 207030 223110 255337 310545 342990 510674 621090 766011 1276685 1532022 2298033 2553370 3830055 4596066 7660110 11490165 22980330