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99945212220 = 223257149353129
BaseRepresentation
bin101110100010100110…
…0101110100100111100
3100112222100112211112200
41131011030232210330
53114141433242340
6113525244431500
710135510200240
oct1350514564474
9315870484480
1099945212220
1139428515247
1217453548590
13956a369039
144ba1a7c420
1528ee516330
hex174532e93c

99945212220 has 144 divisors (see below), whose sum is σ = 346715328960. Its totient is φ = 22828889088.

The previous prime is 99945212197. The next prime is 99945212231. The reversal of 99945212220 is 2221254999.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1854616 + ... + 1907744.

It is an arithmetic number, because the mean of its divisors is an integer number (2407745340).

Almost surely, 299945212220 is an apocalyptic number.

99945212220 is a gapful number since it is divisible by the number (90) 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 99945212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173357664480).

99945212220 is an abundant number, since it is smaller than the sum of its proper divisors (246770116740).

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

99945212220 is a wasteful number, since it uses less digits than its factorization.

99945212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54644 (or 54639 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 99945212220 in words is "ninety-nine billion, nine hundred forty-five million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1493 2986 4479 5972 7465 8958 10451 13437 14930 17916 20902 22395 26874 29860 31353 41804 44790 52255 53129 53748 62706 67185 89580 94059 104510 106258 125412 134370 156765 159387 188118 209020 212516 265645 268740 313530 318774 371903 376236 470295 478161 531290 627060 637548 743806 796935 940590 956322 1062580 1115709 1487612 1593870 1859515 1881180 1912644 2231418 2390805 3187740 3347127 3719030 4462836 4781610 5578545 6694254 7438060 9563220 11157090 13388508 16735635 22314180 33471270 66942540 79321597 158643194 237964791 317286388 396607985 475929582 555251179 713894373 793215970 951859164 1110502358 1189823955 1427788746 1586431940 1665753537 2221004716 2379647910 2776255895 2855577492 3331507074 3569471865 4759295820 4997260611 5552511790 6663014148 7138943730 8328767685 9994521222 11105023580 14277887460 16657535370 19989042444 24986303055 33315070740 49972606110 99945212220