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221223000312 = 23342711125929
BaseRepresentation
bin1100111000000111101…
…0110001100011111000
3210011000102002210210000
43032001322301203320
512111031042002222
6245343424353000
721661053322326
oct3160172614370
9704012083700
10221223000312
1185902686486
1236a5b175760
1317b271b2222
14a9c89a2d16
155b4b7709ac
hex3381eb18f8

221223000312 has 80 divisors (see below), whose sum is σ = 619862720400. Its totient is φ = 73713214080.

The previous prime is 221223000287. The next prime is 221223000319. The reversal of 221223000312 is 213000322122.

221223000312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221223000319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1693764 + ... + 1819692.

It is an arithmetic number, because the mean of its divisors is an integer number (7748284005).

Almost surely, 2221223000312 is an apocalyptic number.

It is an amenable number.

221223000312 is an abundant number, since it is smaller than the sum of its proper divisors (398639720088).

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

221223000312 is a wasteful number, since it uses less digits than its factorization.

221223000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128658 (or 128645 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221223000312 its reverse (213000322122), we get a palindrome (434223322434).

The spelling of 221223000312 in words is "two hundred twenty-one billion, two hundred twenty-three million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 2711 5422 8133 10844 16266 21688 24399 32532 48798 65064 73197 97596 125929 146394 195192 219591 251858 292788 377787 439182 503716 585576 755574 878364 1007432 1133361 1511148 1756728 2266722 3022296 3400083 4533444 6800166 9066888 10200249 13600332 20400498 27200664 40800996 81601992 341393519 682787038 1024180557 1365574076 2048361114 2731148152 3072541671 4096722228 6145083342 8193444456 9217625013 12290166684 18435250026 24580333368 27652875039 36870500052 55305750078 73741000104 110611500156 221223000312