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23200221120 = 263524166897
BaseRepresentation
bin10101100110110101…
…110100011111000000
32012212212022100022220
4111212311310133000
5340003224033440
614354045131040
71450631424426
oct254665643700
965785270286
1023200221120
119925a1356a
1245b5859a80
1322596c2cbb
1411a132b116
1590bbae8d0
hex566d747c0

23200221120 has 56 divisors (see below), whose sum is σ = 73660705104. Its totient is φ = 6186725376.

The previous prime is 23200221097. The next prime is 23200221127. The reversal of 23200221120 is 2112200232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23200221120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23200221127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12082489 + ... + 12084408.

It is an arithmetic number, because the mean of its divisors is an integer number (1315369734).

Almost surely, 223200221120 is an apocalyptic number.

23200221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23200221120 is an abundant number, since it is smaller than the sum of its proper divisors (50460483984).

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

23200221120 is a wasteful number, since it uses less digits than its factorization.

23200221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24166917 (or 24166907 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 23200221120 its reverse (2112200232), we get a palindrome (25312421352).

The spelling of 23200221120 in words is "twenty-three billion, two hundred million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 24166897 48333794 72500691 96667588 120834485 145001382 193335176 241668970 290002764 362503455 386670352 483337940 580005528 725006910 773340704 966675880 1160011056 1450013820 1546681408 1933351760 2320022112 2900027640 3866703520 4640044224 5800055280 7733407040 11600110560 23200221120