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10220224224 = 253715208667
BaseRepresentation
bin10011000010010110…
…00011111011100000
3222101021011011222010
421201023003323200
5131412334133344
64410050512520
7511160321040
oct114113037340
928337134863
1010220224224
114375060801
121b92895740
13c6b505c72
146cd4cb720
153ec3ae8b9
hex2612c3ee0

10220224224 has 48 divisors (see below), whose sum is σ = 30660674688. Its totient is φ = 2920063872.

The previous prime is 10220224177. The next prime is 10220224253. The reversal of 10220224224 is 42242202201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10220224224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7603662 + ... + 7605005.

It is an arithmetic number, because the mean of its divisors is an integer number (638764056).

Almost surely, 210220224224 is an apocalyptic number.

10220224224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10220224224 is an abundant number, since it is smaller than the sum of its proper divisors (20440450464).

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

10220224224 is a wasteful number, since it uses less digits than its factorization.

10220224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15208687 (or 15208679 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 10220224224 its reverse (42242202201), we get a palindrome (52462426425).

The spelling of 10220224224 in words is "ten billion, two hundred twenty million, two hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 15208667 30417334 45626001 60834668 91252002 106460669 121669336 182504004 212921338 243338672 319382007 365008008 425842676 486677344 638764014 730016016 851685352 1277528028 1460032032 1703370704 2555056056 3406741408 5110112112 10220224224