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10223504445 = 3571112769697
BaseRepresentation
bin10011000010101111…
…00100110000111101
3222101111022211120210
421201113210300331
5131414204120240
64410245103033
7511230232260
oct114127446075
928344284523
1010223504445
1143769a1230
121b939b7a79
13c6c0b401b
146cdb02cd7
153ec80b780
hex2615e4c3d

10223504445 has 64 divisors (see below), whose sum is σ = 20554776576. Its totient is φ = 4215214080.

The previous prime is 10223504419. The next prime is 10223504507. The reversal of 10223504445 is 54440532201.

10223504445 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10223504445 - 28 = 10223504189 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 111837 + ... + 181533.

It is an arithmetic number, because the mean of its divisors is an integer number (321168384).

Almost surely, 210223504445 is an apocalyptic number.

10223504445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10223504445 is an abundant number, since it is smaller than the sum of its proper divisors (10331272131).

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

10223504445 is a wasteful number, since it uses less digits than its factorization.

10223504445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69850.

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 10223504445 in words is "ten billion, two hundred twenty-three million, five hundred four thousand, four hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 127 165 231 381 385 635 889 1155 1397 1905 2667 4191 4445 6985 9779 13335 20955 29337 48895 69697 146685 209091 348485 487879 766667 1045455 1463637 2300001 2439395 3833335 5366669 7318185 8851519 11500005 16100007 26554557 26833345 44257595 61960633 80500035 97366709 132772785 185881899 292100127 309803165 486833545 681566963 929409495 1460500635 2044700889 3407834815 10223504445