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122020424 = 2317289593
BaseRepresentation
bin1110100010111…
…10001001001000
322111121021112222
413101132021020
5222214123144
620035153212
73011104451
oct721361110
9274537488
10122020424
1162971829
1234a45808
131c383746
14122c4128
15aaa42ee
hex745e248

122020424 has 48 divisors (see below), whose sum is σ = 246183300. Its totient is φ = 56680448.

The previous prime is 122020417. The next prime is 122020427. The reversal of 122020424 is 424020221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 83356900 + 38663524 = 9130^2 + 6218^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (122020427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205472 + ... + 206064.

Almost surely, 2122020424 is an apocalyptic number.

It is an amenable number.

122020424 is an abundant number, since it is smaller than the sum of its proper divisors (124162876).

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

122020424 is a wasteful number, since it uses less digits than its factorization.

122020424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 122020424 is about 11046.2855295344. The cubic root of 122020424 is about 495.9952414563.

Adding to 122020424 its reverse (424020221), we get a palindrome (546040645).

The spelling of 122020424 in words is "one hundred twenty-two million, twenty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 17 34 68 89 136 178 289 356 578 593 712 1156 1186 1513 2312 2372 3026 4744 6052 10081 12104 20162 25721 40324 51442 52777 80648 102884 105554 171377 205768 211108 342754 422216 685508 897209 1371016 1794418 3588836 7177672 15252553 30505106 61010212 122020424