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23220400380 = 2235678369593
BaseRepresentation
bin10101101000000010…
…110011000011111100
32012221021021120001220
4111220002303003330
5340023410303010
614400045433340
71451265101202
oct255002630374
965837246056
1023220400380
119936346541
12460056b850
132260939ba8
1411a3ca1072
1590d848970
hex5680b30fc

23220400380 has 96 divisors (see below), whose sum is σ = 66783515904. Its totient is φ = 6026110464.

The previous prime is 23220400349. The next prime is 23220400381. The reversal of 23220400380 is 8300402232.

It is a self number, because there is not a number n which added to its sum of digits gives 23220400380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23220400381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298864 + ... + 368456.

It is an arithmetic number, because the mean of its divisors is an integer number (695661624).

Almost surely, 223220400380 is an apocalyptic number.

23220400380 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 23220400380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33391757952).

23220400380 is an abundant number, since it is smaller than the sum of its proper divisors (43563115524).

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

23220400380 is a wasteful number, since it uses less digits than its factorization.

23220400380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69755 (or 69753 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 23220400380 in words is "twenty-three billion, two hundred twenty million, four hundred thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 83 134 166 201 249 268 332 335 402 415 498 670 804 830 996 1005 1245 1340 1660 2010 2490 4020 4980 5561 11122 16683 22244 27805 33366 55610 66732 69593 83415 111220 139186 166830 208779 278372 333660 347965 417558 695930 835116 1043895 1391860 2087790 4175580 4662731 5776219 9325462 11552438 13988193 17328657 18650924 23104876 23313655 27976386 28881095 34657314 46627310 55952772 57762190 69314628 69940965 86643285 93254620 115524380 139881930 173286570 279763860 346573140 387006673 774013346 1161020019 1548026692 1935033365 2322040038 3870066730 4644080076 5805100095 7740133460 11610200190 23220400380