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10220333214 = 2371337505907
BaseRepresentation
bin10011000010010110…
…11110100010011110
3222101021100201110210
421201023132202132
5131412401130324
64410053113250
7511161253560
oct114113364236
928337321423
1010220333214
114375125683
121b92928826
13c6b543760
146cd519330
153ec3d1d29
hex2612de89e

10220333214 has 64 divisors (see below), whose sum is σ = 25837733376. Its totient is φ = 2622616704.

The previous prime is 10220333213. The next prime is 10220333219. The reversal of 10220333214 is 41233302201.

10220333214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102203332142 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220333213) by changing a digit.

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, 232752 + ... + 273155.

It is an arithmetic number, because the mean of its divisors is an integer number (403714584).

Almost surely, 210220333214 is an apocalyptic number.

10220333214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10220333214 is an abundant number, since it is smaller than the sum of its proper divisors (15617400162).

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

10220333214 is a wasteful number, since it uses less digits than its factorization.

10220333214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505969.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10220333214 its reverse (41233302201), we get a palindrome (51453635415).

The spelling of 10220333214 in words is "ten billion, two hundred twenty million, three hundred thirty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1443 1554 2886 3367 6734 10101 20202 505907 1011814 1517721 3035442 3541349 6576791 7082698 10624047 13153582 18718559 19730373 21248094 37437118 39460746 46037537 56155677 92075074 112311354 131029913 138112611 243341267 262059826 276225222 393089739 486682534 730023801 786179478 1460047602 1703388869 3406777738 5110166607 10220333214