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422241300012 = 2237229149916519
BaseRepresentation
bin1100010010011111000…
…10101110111000101100
31111100212201111110212010
412021033202232320230
523404222233100022
6521550332241220
742335350555200
oct6111742567054
91440781443763
10422241300012
1115308722a284
12699bb910210
1330a81477aac
1416617dd6b00
15aeb42dd50c
hex624f8aee2c

422241300012 has 144 divisors (see below), whose sum is σ = 1186466400000. Its totient is φ = 116395606656.

The previous prime is 422241300011. The next prime is 422241300029. The reversal of 422241300012 is 210003142224.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (422241300011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25552689 + ... + 25569207.

It is an arithmetic number, because the mean of its divisors is an integer number (8239350000).

Almost surely, 2422241300012 is an apocalyptic number.

422241300012 is a gapful number since it is divisible by the number (42) 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 422241300012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593233200000).

422241300012 is an abundant number, since it is smaller than the sum of its proper divisors (764225099988).

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

422241300012 is a wasteful number, since it uses less digits than its factorization.

422241300012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18068 (or 18059 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 422241300012 its reverse (210003142224), we get a palindrome (632244442236).

The spelling of 422241300012 in words is "four hundred twenty-two billion, two hundred forty-one million, three hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 812 1218 1421 1499 2436 2842 2998 4263 4497 5684 5996 8526 8994 10493 16519 17052 17988 20986 31479 33038 41972 43471 49557 62958 66076 73451 86942 99114 115633 125916 130413 146902 173884 198228 220353 231266 260826 293804 304297 346899 440706 462532 479051 521652 608594 693798 809431 881412 912891 958102 1217188 1387596 1437153 1618862 1825782 1916204 2130079 2428293 2874306 3237724 3353357 3651564 4260158 4856586 5748612 6390237 6706714 8520316 9713172 10060071 12780474 13413428 20120142 23473499 24761981 25560948 40240284 46946998 49523962 70420497 74285943 93893996 99047924 140840994 148571886 173333867 281681988 297143772 346667734 520001601 693335468 718097449 1040003202 1213337069 1436194898 2080006404 2154292347 2426674138 2872389796 3640011207 4308584694 4853348276 5026682143 7280022414 8617169388 10053364286 14560044828 15080046429 20106728572 30160092858 35186775001 60320185716 70373550002 105560325003 140747100004 211120650006 422241300012