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10222220224 = 261712017823
BaseRepresentation
bin10011000010100101…
…01011001111000000
3222101101220120222001
421201102223033000
5131413342021344
64410201353344
7511213303216
oct114122531700
928341816861
1010222220224
1143761a4397
121b93498854
13c6ba54628
146cd88acb6
153ec655ed4
hex2614ab3c0

10222220224 has 56 divisors (see below), whose sum is σ = 21498568128. Its totient is φ = 4805836800.

The previous prime is 10222220219. The next prime is 10222220249. The reversal of 10222220224 is 42202222201.

It is a super-2 number, since 2×102222202242 (a number of 21 digits) contains 22 as substring.

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, 1302777 + ... + 1310599.

Almost surely, 210222220224 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 10222220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10749284064).

10222220224 is an abundant number, since it is smaller than the sum of its proper divisors (11276347904).

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

10222220224 is a wasteful number, since it uses less digits than its factorization.

10222220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9053 (or 9043 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 10222220224 its reverse (42202222201), we get a palindrome (52424442425).

The spelling of 10222220224 in words is "ten billion, two hundred twenty-two million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 1201 2402 4804 7823 9608 15646 19216 20417 31292 38432 40834 62584 76864 81668 125168 132991 163336 250336 265982 326672 500672 531964 653344 1063928 1306688 2127856 4255712 8511424 9395423 18790846 37581692 75163384 150326768 159722191 300653536 319444382 601307072 638888764 1277777528 2555555056 5111110112 10222220224