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99995220 = 2232513151283
BaseRepresentation
bin1011111010111…
…00111001010100
320222011021122200
411331130321110
5201044321340
613531124500
72322642153
oct575347124
9228137580
1099995220
1151498986
12295a3730
1317941590
14d3cd59a
158ba3330
hex5f5ce54

99995220 has 144 divisors (see below), whose sum is σ = 329976192. Its totient is φ = 24364800.

The previous prime is 99995213. The next prime is 99995227. The reversal of 99995220 is 2259999.

It is an interprime number because it is at equal distance from previous prime (99995213) and next prime (99995227).

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

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99995227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353199 + ... + 353481.

Almost surely, 299995220 is an apocalyptic number.

99995220 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 99995220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164988096).

99995220 is an abundant number, since it is smaller than the sum of its proper divisors (229980972).

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

99995220 is a wasteful number, since it uses less digits than its factorization.

99995220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 99995220 is about 9999.7609971439. The cubic root of 99995220 is about 464.1514876452.

The spelling of 99995220 in words is "ninety-nine million, nine hundred ninety-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 151 156 180 195 234 260 283 302 390 453 468 566 585 604 755 780 849 906 1132 1170 1359 1415 1510 1698 1812 1963 2265 2340 2547 2718 2830 3020 3396 3679 3926 4245 4530 5094 5436 5660 5889 6795 7358 7852 8490 9060 9815 10188 11037 11778 12735 13590 14716 16980 17667 18395 19630 22074 23556 25470 27180 29445 33111 35334 36790 39260 42733 44148 50940 55185 58890 66222 70668 73580 85466 88335 110370 117780 128199 132444 165555 170932 176670 213665 220740 256398 331110 353340 384597 427330 512796 555529 640995 662220 769194 854660 1111058 1281990 1538388 1666587 1922985 2222116 2563980 2777645 3333174 3845970 4999761 5555290 6666348 7691940 8332935 9999522 11110580 16665870 19999044 24998805 33331740 49997610 99995220