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22155100520 = 23572315122783
BaseRepresentation
bin10100101000100011…
…000000000101101000
32010012000201201101112
4110220203000011220
5330333201204040
614102232405452
71413011150540
oct245043000550
963160651345
1022155100520
119439a81a33
124363846888
132121018647
1411025d6320
1589a069365
hex5288c0168

22155100520 has 128 divisors (see below), whose sum is σ = 59843543040. Its totient is φ = 7217337600.

The previous prime is 22155100477. The next prime is 22155100523. The reversal of 22155100520 is 2500155122.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (22155100523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 961049 + ... + 983831.

It is an arithmetic number, because the mean of its divisors is an integer number (467527680).

Almost surely, 222155100520 is an apocalyptic number.

22155100520 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 22155100520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29921771520).

22155100520 is an abundant number, since it is smaller than the sum of its proper divisors (37688442520).

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

22155100520 is a wasteful number, since it uses less digits than its factorization.

22155100520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22975 (or 22971 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

Adding to 22155100520 its reverse (2500155122), we get a palindrome (24655255642).

The spelling of 22155100520 in words is "twenty-two billion, one hundred fifty-five million, one hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 151 161 184 230 280 302 322 460 604 644 755 805 920 1057 1208 1288 1510 1610 2114 3020 3220 3473 4228 5285 6040 6440 6946 8456 10570 13892 17365 21140 22783 24311 27784 34730 42280 45566 48622 69460 91132 97244 113915 121555 138920 159481 182264 194488 227830 243110 318962 455660 486220 524009 637924 797405 911320 972440 1048018 1275848 1594810 2096036 2620045 3189620 3440233 3668063 4192072 5240090 6379240 6880466 7336126 10480180 13760932 14672252 17201165 18340315 20960360 24081631 27521864 29344504 34402330 36680630 48163262 68804660 73361260 79125359 96326524 120408155 137609320 146722520 158250718 192653048 240816310 316501436 395626795 481632620 553877513 633002872 791253590 963265240 1107755026 1582507180 2215510052 2769387565 3165014360 4431020104 5538775130 11077550260 22155100520