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31442221224 = 23331171124309
BaseRepresentation
bin11101010010000110…
…100011100010101000
310000011021002022222000
4131102012203202220
51003343202034344
622235551531000
72162111320311
oct352206434250
9100137068860
1031442221224
11123753501a7
126115b29a60
132c7110743b
141743bcb608
15c4055da69
hex7521a38a8

31442221224 has 64 divisors (see below), whose sum is σ = 87414792000. Its totient is φ = 10471705920.

The previous prime is 31442221199. The next prime is 31442221249. The reversal of 31442221224 is 42212224413.

It is a happy number.

31442221224 is a `hidden beast` number, since 3 + 1 + 4 + 422 + 212 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (31442221199) and next prime (31442221249).

It is a super-2 number, since 2×314422212242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190782 + ... + 315090.

It is an arithmetic number, because the mean of its divisors is an integer number (1365856125).

Almost surely, 231442221224 is an apocalyptic number.

It is an amenable number.

31442221224 is an abundant number, since it is smaller than the sum of its proper divisors (55972570776).

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

31442221224 is a wasteful number, since it uses less digits than its factorization.

31442221224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125495 (or 125485 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 31442221224 its reverse (42212224413), we get a palindrome (73654445637).

The spelling of 31442221224 in words is "thirty-one billion, four hundred forty-two million, two hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1171 2342 3513 4684 7026 9368 10539 14052 21078 28104 31617 42156 63234 84312 124309 126468 248618 252936 372927 497236 745854 994472 1118781 1491708 2237562 2983416 3356343 4475124 6712686 8950248 13425372 26850744 145565839 291131678 436697517 582263356 873395034 1164526712 1310092551 1746790068 2620185102 3493580136 3930277653 5240370204 7860555306 10480740408 15721110612 31442221224