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122033220 = 223541113439
BaseRepresentation
bin1110100011000…
…01010001000100
322111121221002220
413101201101010
5222220030340
620035332340
73011156661
oct721412104
9274557086
10122033220
1162980401
1234a510b0
131c38950a
14122c8a68
15aaa7ed0
hex7461444

122033220 has 96 divisors (see below), whose sum is σ = 353928960. Its totient is φ = 31395840.

The previous prime is 122033209. The next prime is 122033221. The reversal of 122033220 is 22330221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122033220.

It is not an unprimeable number, because it can be changed into a prime (122033221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277761 + ... + 278199.

It is an arithmetic number, because the mean of its divisors is an integer number (3686760).

Almost surely, 2122033220 is an apocalyptic number.

122033220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176964480).

122033220 is an abundant number, since it is smaller than the sum of its proper divisors (231895740).

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

122033220 is a wasteful number, since it uses less digits than its factorization.

122033220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 122033220 is about 11046.8647135737. The cubic root of 122033220 is about 496.0125788086.

Adding to 122033220 its reverse (22330221), we get a palindrome (144363441).

The spelling of 122033220 in words is "one hundred twenty-two million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 113 123 164 205 226 246 339 410 439 452 492 565 615 678 820 878 1130 1230 1317 1356 1695 1756 2195 2260 2460 2634 3390 4390 4633 5268 6585 6780 8780 9266 13170 13899 17999 18532 23165 26340 27798 35998 46330 49607 53997 55596 69495 71996 89995 92660 99214 107994 138990 148821 179990 198428 215988 248035 269985 277980 297642 359980 496070 539970 595284 744105 992140 1079940 1488210 2033887 2976420 4067774 6101661 8135548 10169435 12203322 20338870 24406644 30508305 40677740 61016610 122033220