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10223033020 = 22529131157857
BaseRepresentation
bin10011000010101011…
…10001101010111100
3222101110102212220121
421201111301222330
5131414044024040
64410231024324
7511223226664
oct114125615274
928343385817
1010223033020
1143766aa022
121b9380b0a4
13c6bc7a585
146cda1d1a4
153ec766c4a
hex261571abc

10223033020 has 96 divisors (see below), whose sum is σ = 22547004480. Its totient is φ = 3888568320.

The previous prime is 10223033017. The next prime is 10223033033. The reversal of 10223033020 is 2033032201.

10223033020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10223032985 and 10223033003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11928432 + ... + 11929288.

It is an arithmetic number, because the mean of its divisors is an integer number (234864630).

Almost surely, 210223033020 is an apocalyptic number.

10223033020 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 10223033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11273502240).

10223033020 is an abundant number, since it is smaller than the sum of its proper divisors (12323971460).

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

10223033020 is a wasteful number, since it uses less digits than its factorization.

10223033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 10223033020 its reverse (2033032201), we get a palindrome (12256065221).

The spelling of 10223033020 in words is "ten billion, two hundred twenty-three million, thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 131 145 157 262 290 314 524 580 628 655 785 857 1310 1570 1714 2620 3140 3428 3799 4285 4553 7598 8570 9106 15196 17140 18212 18995 20567 22765 24853 37990 41134 45530 49706 75980 82268 91060 99412 102835 112267 124265 134549 205670 224534 248530 269098 411340 449068 497060 538196 561335 596443 672745 1122670 1192886 1345490 2245340 2385772 2690980 2982215 3255743 3901921 5964430 6511486 7803842 11928860 13022972 15607684 16278715 17625919 19509605 32557430 35251838 39019210 65114860 70503676 78038420 88129595 176259190 352518380 511151651 1022303302 2044606604 2555758255 5111516510 10223033020