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10223011404 = 22331743112919
BaseRepresentation
bin10011000010101011…
…01100011001001100
3222101110101210021000
421201111230121030
5131414042331104
64410230340300
7511223106654
oct114125543114
928343353230
1010223011404
114376694861
121b937ba690
13c6bc70798
146cda15364
153ec760639
hex26156c64c

10223011404 has 96 divisors (see below), whose sum is σ = 28130457600. Its totient is φ = 3199530240.

The previous prime is 10223011397. The next prime is 10223011429. The reversal of 10223011404 is 40411032201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 784857 + ... + 797775.

It is an arithmetic number, because the mean of its divisors is an integer number (293025600).

Almost surely, 210223011404 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 10223011404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065228800).

10223011404 is an abundant number, since it is smaller than the sum of its proper divisors (17907446196).

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

10223011404 is a wasteful number, since it uses less digits than its factorization.

10223011404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13380 (or 13372 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10223011404 its reverse (40411032201), we get a palindrome (50634043605).

The spelling of 10223011404 in words is "ten billion, two hundred twenty-three million, eleven thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 431 459 612 862 918 1293 1724 1836 2586 3879 5172 7327 7758 11637 12919 14654 15516 21981 23274 25838 29308 38757 43962 46548 51676 65943 77514 87924 116271 131886 155028 197829 219623 232542 263772 348813 395658 439246 465084 658869 697626 791316 878492 1317738 1395252 1976607 2635476 3953214 5568089 5929821 7906428 11136178 11859642 16704267 22272356 23719284 33408534 50112801 66817068 94657513 100225602 150338403 189315026 200451204 283972539 300676806 378630052 567945078 601353612 851917617 1135890156 1703835234 2555752851 3407670468 5111505702 10223011404