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122828850 = 23252499547
BaseRepresentation
bin1110101001000…
…11100000110010
322120010100111200
413110203200302
5222421010400
620104352030
73021012414
oct724434062
9276110450
10122828850
1163374151
1235175616
131c5a76c1
14124549b4
15abb3b00
hex7523832

122828850 has 72 divisors (see below), whose sum is σ = 331266000. Its totient is φ = 32628960.

The previous prime is 122828803. The next prime is 122828861. The reversal of 122828850 is 58828221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 224277 + ... + 224823.

Almost surely, 2122828850 is an apocalyptic number.

122828850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122828850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165633000).

122828850 is an abundant number, since it is smaller than the sum of its proper divisors (208437150).

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

122828850 is a wasteful number, since it uses less digits than its factorization.

122828850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 122828850 is about 11082.8177824956. The cubic root of 122828850 is about 497.0882091989.

The spelling of 122828850 in words is "one hundred twenty-two million, eight hundred twenty-eight thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 499 547 998 1094 1497 1641 2495 2735 2994 3282 4491 4923 4990 5470 7485 8205 8982 9846 12475 13675 14970 16410 22455 24615 24950 27350 37425 41025 44910 49230 74850 82050 112275 123075 224550 246150 272953 545906 818859 1364765 1637718 2456577 2729530 4094295 4913154 6823825 8188590 12282885 13647650 20471475 24565770 40942950 61414425 122828850