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22243422720 = 293513122109
BaseRepresentation
bin10100101101110011…
…111011001000000000
32010102011220221200010
4110231303323020000
5331023304011340
614115105424520
71415132654631
oct245563731000
963364827603
1022243422720
119484917792
12438933b140
1321364009bc
141110227888
158a2bb3b80
hex52dcfb200

22243422720 has 160 divisors (see below), whose sum is σ = 71655503040. Its totient is φ = 5886033920.

The previous prime is 22243422703. The next prime is 22243422767. The reversal of 22243422720 is 2722434222.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×222434227202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 995026 + ... + 1017134.

It is an arithmetic number, because the mean of its divisors is an integer number (447846894).

Almost surely, 222243422720 is an apocalyptic number.

22243422720 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 22243422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35827751520).

22243422720 is an abundant number, since it is smaller than the sum of its proper divisors (49412080320).

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

22243422720 is a wasteful number, since it uses less digits than its factorization.

22243422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22266 (or 22250 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 30.

Adding to 22243422720 its reverse (2722434222), we get a palindrome (24965856942).

The spelling of 22243422720 in words is "twenty-two billion, two hundred forty-three million, four hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 131 160 192 240 256 262 320 384 393 480 512 524 640 655 768 786 960 1048 1280 1310 1536 1572 1920 1965 2096 2560 2620 3144 3840 3930 4192 5240 6288 7680 7860 8384 10480 12576 15720 16768 20960 22109 25152 31440 33536 41920 44218 50304 62880 66327 67072 83840 88436 100608 110545 125760 132654 167680 176872 201216 221090 251520 265308 331635 335360 353744 442180 503040 530616 663270 707488 884360 1006080 1061232 1326540 1414976 1768720 2122464 2653080 2829952 2896279 3537440 4244928 5306160 5659904 5792558 7074880 8489856 8688837 10612320 11319808 11585116 14149760 14481395 16979712 17377674 21224640 23170232 28299520 28962790 33959424 34755348 42449280 43444185 46340464 56599040 57925580 69510696 84898560 86888370 92680928 115851160 139021392 169797120 173776740 185361856 231702320 278042784 347553480 370723712 463404640 556085568 695106960 741447424 926809280 1112171136 1390213920 1482894848 1853618560 2224342272 2780427840 3707237120 4448684544 5560855680 7414474240 11121711360 22243422720