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22252532203320 = 23351372415616433
BaseRepresentation
bin1010000111101000100100…
…10001101111111100111000
32220210022200020012110200020
411003310102101233330320
510404041141221001240
6115154401104410440
74454456330601456
oct503642221577470
986708606173606
1022252532203320
1170aa278340991
1225b4834016a20
13c55535400243
1456d0579539d6
15288c8d11a0d0
hex143d1246ff38

22252532203320 has 128 divisors (see below), whose sum is σ = 67523914751040. Its totient is φ = 5866250895360.

The previous prime is 22252532203301. The next prime is 22252532203327. The reversal of 22252532203320 is 2330223525222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22252532203327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1153824 + ... + 6770256.

Almost surely, 222252532203320 is an apocalyptic number.

22252532203320 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 22252532203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33761957375520).

22252532203320 is an abundant number, since it is smaller than the sum of its proper divisors (45271382547720).

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

22252532203320 is a wasteful number, since it uses less digits than its factorization.

22252532203320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5616825 (or 5616821 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 33.

Adding to 22252532203320 its reverse (2330223525222), we get a palindrome (24582755728542).

The spelling of 22252532203320 in words is "twenty-two trillion, two hundred fifty-two billion, five hundred thirty-two million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 241 274 411 482 548 685 723 822 964 1096 1205 1370 1446 1644 1928 2055 2410 2740 2892 3288 3615 4110 4820 5480 5784 7230 8220 9640 14460 16440 28920 33017 66034 99051 132068 165085 198102 264136 330170 396204 495255 660340 792408 990510 1320680 1981020 3962040 5616433 11232866 16849299 22465732 28082165 33698598 44931464 56164330 67397196 84246495 112328660 134794392 168492990 224657320 336985980 673971960 769451321 1353560353 1538902642 2308353963 2707120706 3077805284 3847256605 4060681059 4616707926 5414241412 6155610568 6767801765 7694513210 8121362118 9233415852 10828482824 11541769815 13535603530 15389026420 16242724236 18466831704 20303405295 23083539630 27071207060 30778052840 32485448472 40606810590 46167079260 54142414120 81213621180 92334158520 162427242360 185437768361 370875536722 556313305083 741751073444 927188841805 1112626610166 1483502146888 1854377683610 2225253220332 2781566525415 3708755367220 4450506440664 5563133050830 7417510734440 11126266101660 22252532203320