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1222920 = 233254379
BaseRepresentation
bin100101010100100001000
32022010112100
410222210020
5303113140
642113400
713252236
oct4524410
92263470
101222920
11765886
124ab860
1333a82a
1423b956
15192530
hex12a908

1222920 has 96 divisors (see below), whose sum is σ = 4118400. Its totient is φ = 314496.

The previous prime is 1222913. The next prime is 1222931. The reversal of 1222920 is 292221.

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 = 1222893 and 1222902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15441 + ... + 15519.

It is an arithmetic number, because the mean of its divisors is an integer number (42900).

21222920 is an apocalyptic number.

1222920 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 1222920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059200).

1222920 is an abundant number, since it is smaller than the sum of its proper divisors (2895480).

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

1222920 is a wasteful number, since it uses less digits than its factorization.

1222920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1222920 is about 1105.8571336298. The cubic root of 1222920 is about 106.9381539125.

The spelling of 1222920 in words is "one million, two hundred twenty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 79 86 90 120 129 158 172 180 215 237 258 316 344 360 387 395 430 474 516 632 645 711 774 790 860 948 1032 1185 1290 1422 1548 1580 1720 1896 1935 2370 2580 2844 3096 3160 3397 3555 3870 4740 5160 5688 6794 7110 7740 9480 10191 13588 14220 15480 16985 20382 27176 28440 30573 33970 40764 50955 61146 67940 81528 101910 122292 135880 152865 203820 244584 305730 407640 611460 1222920