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23220121040 = 2452348725913
BaseRepresentation
bin10101101000000001…
…101110110111010000
32012221020202100212222
4111220001232313100
5340023322333130
614400035440212
71451262525614
oct255001566720
965836670788
1023220121040
119936175686
124600456068
13226086c9bc
1411a3c2b344
1590d7e0ce5
hex56806edd0

23220121040 has 80 divisors (see below), whose sum is σ = 56451886848. Its totient is φ = 8865635328.

The previous prime is 23220120961. The next prime is 23220121079. The reversal of 23220121040 is 4012102232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×232201210402 (a number of 22 digits) contains 22 as substring.

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, 883124 + ... + 909036.

Almost surely, 223220121040 is an apocalyptic number.

23220121040 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 23220121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28225943424).

23220121040 is an abundant number, since it is smaller than the sum of its proper divisors (33231765808).

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

23220121040 is a wasteful number, since it uses less digits than its factorization.

23220121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26436 (or 26430 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 23220121040 its reverse (4012102232), we get a palindrome (27232223272).

The spelling of 23220121040 in words is "twenty-three billion, two hundred twenty million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 487 920 974 1840 1948 2435 3896 4870 7792 9740 11201 19480 22402 25913 38960 44804 51826 56005 89608 103652 112010 129565 179216 207304 224020 259130 414608 448040 518260 595999 896080 1036520 1191998 2073040 2383996 2979995 4767992 5959990 9535984 11919980 12619631 23839960 25239262 47679920 50478524 63098155 100957048 126196310 201914096 252392620 290251513 504785240 580503026 1009570480 1161006052 1451257565 2322012104 2902515130 4644024208 5805030260 11610060520 23220121040