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223400023242 = 231137201145491
BaseRepresentation
bin1101000000001110101…
…1011101010011001010
3210100122010120000210220
43100003223131103022
512130010401220432
6250343433450510
722066026603054
oct3200353352312
9710563500726
10223400023242
118681a541a90
1237368270a36
13180b322a386
14ab53b7c8d4
155c2794e72c
hex3403add4ca

223400023242 has 64 divisors (see below), whose sum is σ = 500851634688. Its totient is φ = 65833128000.

The previous prime is 223400023241. The next prime is 223400023267. The reversal of 223400023242 is 242320004322.

It is a happy number.

It is a super-2 number, since 2×2234000232422 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (223400023241) 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, 4888117 + ... + 4933607.

It is an arithmetic number, because the mean of its divisors is an integer number (7825806792).

Almost surely, 2223400023242 is an apocalyptic number.

223400023242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 223400023242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250425817344).

223400023242 is an abundant number, since it is smaller than the sum of its proper divisors (277451611446).

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

223400023242 is a wasteful number, since it uses less digits than its factorization.

223400023242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47555.

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 223400023242 its reverse (242320004322), we get a palindrome (465720027564).

The spelling of 223400023242 in words is "two hundred twenty-three billion, four hundred million, twenty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2011 2442 4022 6033 12066 22121 44242 45491 66363 74407 90982 132726 136473 148814 223221 272946 446442 500401 818477 1000802 1501203 1636954 1683167 2455431 3002406 3366334 4910862 5049501 10099002 18514837 37029674 55544511 91482401 111089022 182964802 274447203 548894406 1006306411 2012612822 3018919233 3384848837 6037838466 6769697674 10154546511 20309093022 37233337207 74466674414 111700011621 223400023242