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1453222120 = 235734714957
BaseRepresentation
bin101011010011110…
…0110100011101000
310202021111022222111
41112213212203220
510434011101440
6400111332104
751004120120
oct12647464350
93667438874
101453222120
11686340319
12346821034
131a20c465c
14db007c80
15878a94ea
hex569e68e8

1453222120 has 64 divisors (see below), whose sum is σ = 3747876480. Its totient is φ = 496778496.

The previous prime is 1453222091. The next prime is 1453222189. The reversal of 1453222120 is 212223541.

It is a happy number.

It is a super-2 number, since 2×14532221202 = 4223709060114588800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1453222091 and 1453222100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89682 + ... + 104638.

It is an arithmetic number, because the mean of its divisors is an integer number (58560570).

Almost surely, 21453222120 is an apocalyptic number.

1453222120 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 1453222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873938240).

1453222120 is an abundant number, since it is smaller than the sum of its proper divisors (2294654360).

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

1453222120 is a wasteful number, since it uses less digits than its factorization.

1453222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15322 (or 15318 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1453222120 is about 38121.1505597614. The cubic root of 1453222120 is about 1132.6889574202.

Adding to 1453222120 its reverse (212223541), we get a palindrome (1665445661).

The spelling of 1453222120 in words is "one billion, four hundred fifty-three million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 347 694 1388 1735 2429 2776 3470 4858 6940 9716 12145 13880 14957 19432 24290 29914 48580 59828 74785 97160 104699 119656 149570 209398 299140 418796 523495 598280 837592 1046990 2093980 4187960 5190079 10380158 20760316 25950395 36330553 41520632 51900790 72661106 103801580 145322212 181652765 207603160 290644424 363305530 726611060 1453222120