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122302224 = 24341123373
BaseRepresentation
bin1110100101000…
…10111100010000
322112010121010000
413102202330100
5222302132344
620045210000
73013360152
oct722427420
9275117100
10122302224
1163044520
1234b60900
131c451aa5
1412358ad2
15ab0ca69
hex74a2f10

122302224 has 200 divisors, whose sum is σ = 404027712. Its totient is φ = 35354880.

The previous prime is 122302211. The next prime is 122302237. The reversal of 122302224 is 422203221.

It is an interprime number because it is at equal distance from previous prime (122302211) and next prime (122302237).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122302197 and 122302206.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 327702 + ... + 328074.

Almost surely, 2122302224 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 122302224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202013856).

122302224 is an abundant number, since it is smaller than the sum of its proper divisors (281725488).

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

122302224 is a wasteful number, since it uses less digits than its factorization.

122302224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 122302224 is about 11059.0335924980. The cubic root of 122302224 is about 496.3767732084.

Adding to 122302224 its reverse (422203221), we get a palindrome (544505445).

The spelling of 122302224 in words is "one hundred twenty-two million, three hundred two thousand, two hundred twenty-four".