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22225133040 = 24351112916521
BaseRepresentation
bin10100101100101110…
…001001110111110000
32010100220111201221120
4110230232021313300
5331004113224130
614113213422240
71414521341145
oct245456116760
963326451846
1022225133040
119475565450
12438319a980
132132698bc6
14110ba263cc
158a129e910
hex52cb89df0

22225133040 has 160 divisors (see below), whose sum is σ = 75231113472. Its totient is φ = 5382912000.

The previous prime is 22225132999. The next prime is 22225133057. The reversal of 22225133040 is 4033152222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22225133040.

It is a congruent number.

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, 3404980 + ... + 3411500.

Almost surely, 222225133040 is an apocalyptic number.

22225133040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22225133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37615556736).

22225133040 is an abundant number, since it is smaller than the sum of its proper divisors (53005980432).

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

22225133040 is a wasteful number, since it uses less digits than its factorization.

22225133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7839 (or 7833 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 22225133040 its reverse (4033152222), we get a palindrome (26258285262).

The spelling of 22225133040 in words is "twenty-two billion, two hundred twenty-five million, one hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1291 1320 2582 2640 3873 5164 6455 6521 7746 10328 12910 13042 14201 15492 19365 19563 20656 25820 26084 28402 30984 32605 38730 39126 42603 51640 52168 56804 61968 65210 71005 71731 77460 78252 85206 97815 103280 104336 113608 130420 142010 143462 154920 156504 170412 195630 213015 215193 227216 260840 284020 286924 309840 313008 340824 358655 391260 426030 430386 521680 568040 573848 681648 717310 782520 852060 860772 1075965 1136080 1147696 1434620 1565040 1704120 1721544 2151930 2869240 3408240 3443088 4303860 5738480 8418611 8607720 16837222 17215440 25255833 33674444 42093055 50511666 67348888 84186110 92604721 101023332 126279165 134697776 168372220 185209442 202046664 252558330 277814163 336744440 370418884 404093328 463023605 505116660 555628326 673488880 740837768 926047210 1010233320 1111256652 1389070815 1481675536 1852094420 2020466640 2222513304 2778141630 3704188840 4445026608 5556283260 7408377680 11112566520 22225133040