Search a number
-
+
122516430 = 2354083881
BaseRepresentation
bin1110100110101…
…11001111001110
322112112110221120
413103113033032
5222331011210
620053541410
73015241521
oct723271716
9275473846
10122516430
1163180453
1235044866
131c4c843a
14123b2bb8
15ab51270
hex74d73ce

122516430 has 16 divisors (see below), whose sum is σ = 294039504. Its totient is φ = 32671040.

The previous prime is 122516369. The next prime is 122516441. The reversal of 122516430 is 34615221.

It is a self number, because there is not a number n which added to its sum of digits gives 122516430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2041911 + ... + 2041970.

It is an arithmetic number, because the mean of its divisors is an integer number (18377469).

Almost surely, 2122516430 is an apocalyptic number.

122516430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122516430 is an abundant number, since it is smaller than the sum of its proper divisors (171523074).

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

122516430 is a wasteful number, since it uses less digits than its factorization.

122516430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083891.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 122516430 is about 11068.7140174457. The cubic root of 122516430 is about 496.6663969089. Note that the first 3 decimals are identical.

It can be divided in two parts, 12251 and 6430, that added together give a palindrome (18681).

The spelling of 122516430 in words is "one hundred twenty-two million, five hundred sixteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 4083881 8167762 12251643 20419405 24503286 40838810 61258215 122516430