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122925248 = 262337261
BaseRepresentation
bin1110101001110…
…11000011000000
322120022020201222
413110323003000
5222432101443
620110414212
73021563435
oct724730300
9276266658
10122925248
116342a616
1235201368
131c60c544
141247bb8c
15abd2468
hex753b0c0

122925248 has 84 divisors (see below), whose sum is σ = 265889232. Its totient is φ = 56263680.

The previous prime is 122925233. The next prime is 122925251. The reversal of 122925248 is 842529221.

It is a happy number.

It is a super-2 number, since 2×1229252482 = 30221233191723008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2015138 + ... + 2015198.

It is an arithmetic number, because the mean of its divisors is an integer number (3165348).

Almost surely, 2122925248 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 122925248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132944616).

122925248 is an abundant number, since it is smaller than the sum of its proper divisors (142963984).

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

122925248 is an equidigital number, since it uses as much as digits as its factorization.

122925248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 123 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 122925248 is about 11087.1659137942. The cubic root of 122925248 is about 497.2182160580.

The spelling of 122925248 in words is "one hundred twenty-two million, nine hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 37 46 61 64 74 92 122 148 184 244 296 368 488 592 736 851 976 1184 1369 1403 1472 1702 1952 2257 2368 2738 2806 3404 3904 4514 5476 5612 6808 9028 10952 11224 13616 18056 21904 22448 27232 31487 36112 43808 44896 51911 54464 62974 72224 83509 87616 89792 103822 125948 144448 167018 207644 251896 334036 415288 503792 668072 830576 1007584 1336144 1661152 1920707 2015168 2672288 3322304 3841414 5344576 7682828 15365656 30731312 61462624 122925248