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122140464 = 24367163233
BaseRepresentation
bin1110100011110…
…11011100110000
322111211101012220
413101323130300
5222231443324
620041521040
73012114435
oct721733460
9274741186
10122140464
1162a43a36
1234aa3180
131c3c6284
1412315b8c
15aac9b79
hex747b730

122140464 has 80 divisors (see below), whose sum is σ = 323586432. Its totient is φ = 39688704.

The previous prime is 122140439. The next prime is 122140477. The reversal of 122140464 is 464041221.

It is a happy number.

It is a super-2 number, since 2×1221404642 = 29836585892270592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 524092 + ... + 524324.

Almost surely, 2122140464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122140464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161793216).

122140464 is an abundant number, since it is smaller than the sum of its proper divisors (201445968).

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

122140464 is a wasteful number, since it uses less digits than its factorization.

122140464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 122140464 is about 11051.7176945487. The cubic root of 122140464 is about 496.1578365180.

Adding to 122140464 its reverse (464041221), we get a palindrome (586181685).

The spelling of 122140464 in words is "one hundred twenty-two million, one hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 163 201 233 268 326 402 466 489 536 652 699 804 932 978 1072 1304 1398 1608 1864 1956 2608 2796 3216 3728 3912 5592 7824 10921 11184 15611 21842 31222 32763 37979 43684 46833 62444 65526 75958 87368 93666 113937 124888 131052 151916 174736 187332 227874 249776 262104 303832 374664 455748 524208 607664 749328 911496 1822992 2544593 5089186 7633779 10178372 15267558 20356744 30535116 40713488 61070232 122140464