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22980000 = 25354383
BaseRepresentation
bin101011110101…
…0010110100000
31121020111122010
41113222112200
521340330000
62140312520
7366220041
oct127522640
947214563
1022980000
1111a7623a
127842740
1349b7944
1430a28c8
15203dd50
hex15ea5a0

22980000 has 120 divisors (see below), whose sum is σ = 75575808. Its totient is φ = 6112000.

The previous prime is 22979993. The next prime is 22980011. The reversal of 22980000 is 8922.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59809 + ... + 60191.

Almost surely, 222980000 is an apocalyptic number.

22980000 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 22980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37787904).

22980000 is an abundant number, since it is smaller than the sum of its proper divisors (52595808).

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

22980000 is an equidigital number, since it uses as much as digits as its factorization.

22980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 22980000 is about 4793.7459256828. The cubic root of 22980000 is about 284.3042431536.

Adding to 22980000 its reverse (8922), we get a palindrome (22988922).

The spelling of 22980000 in words is "twenty-two million, nine hundred eighty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 383 400 480 500 600 625 750 766 800 1000 1149 1200 1250 1500 1532 1875 1915 2000 2298 2400 2500 3000 3064 3750 3830 4000 4596 5000 5745 6000 6128 7500 7660 9192 9575 10000 11490 12000 12256 15000 15320 18384 19150 20000 22980 28725 30000 30640 36768 38300 45960 47875 57450 60000 61280 76600 91920 95750 114900 143625 153200 183840 191500 229800 239375 287250 306400 383000 459600 478750 574500 718125 766000 919200 957500 1149000 1436250 1532000 1915000 2298000 2872500 3830000 4596000 5745000 7660000 11490000 22980000