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454023220332 = 223116197581303
BaseRepresentation
bin1101001101101011110…
…01001000110001101100
31121101220122210022101010
412212311321020301230
524414314421022312
6544324141145220
744542055461053
oct6466571106154
91541818708333
10454023220332
111656062a9430
1273bab55b210
1333a77a6c8c6
1417d90d6d39a
15bc2459d93c
hex69b5e48c6c

454023220332 has 96 divisors (see below), whose sum is σ = 1186753042944. Its totient is φ = 133931980800.

The previous prime is 454023220307. The next prime is 454023220333. The reversal of 454023220332 is 233022320454.

It is a happy number.

It is a super-2 number, since 2×4540232203322 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 454023220332.

It is not an unprimeable number, because it can be changed into a prime (454023220333) 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, 490393 + ... + 1071695.

It is an arithmetic number, because the mean of its divisors is an integer number (12362010864).

Almost surely, 2454023220332 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 454023220332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593376521472).

454023220332 is an abundant number, since it is smaller than the sum of its proper divisors (732729822612).

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

454023220332 is a wasteful number, since it uses less digits than its factorization.

454023220332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581479 (or 581477 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 454023220332 its reverse (233022320454), we get a palindrome (687045540786).

The spelling of 454023220332 in words is "four hundred fifty-four billion, twenty-three million, two hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 97 122 132 183 194 244 291 366 388 582 671 732 1067 1164 1342 2013 2134 2684 3201 4026 4268 5917 6402 8052 11834 12804 17751 23668 35502 65087 71004 130174 195261 260348 390522 581303 781044 1162606 1743909 2325212 3487818 6394333 6975636 12788666 19182999 25577332 35459483 38365998 56386391 70918966 76731996 106378449 112772782 141837932 169159173 212756898 225545564 338318346 390054313 425513796 620250301 676636692 780108626 1170162939 1240500602 1560217252 1860750903 2340325878 2481001204 3439569851 3721501806 4680651756 6879139702 7443003612 10318709553 13758279404 20637419106 37835268361 41274838212 75670536722 113505805083 151341073444 227011610166 454023220332