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155228100 = 2235219113241
BaseRepresentation
bin10010100000010…
…01011111000100
3101211002101220220
421100021133010
5304214244400
623223024340
73563263026
oct1120113704
9354071826
10155228100
117a693195
1243b9b0b0
132620c761
141688a016
15d9637a0
hex94097c4

155228100 has 144 divisors (see below), whose sum is σ = 478927680. Its totient is φ = 38707200.

The previous prime is 155228089. The next prime is 155228113. The reversal of 155228100 is 1822551.

155228100 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1552281002 = 48191526059220000, which contains 22 as substring.

155228100 is strictly pandigital in base 9.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 643980 + ... + 644220.

Almost surely, 2155228100 is an apocalyptic number.

155228100 is a gapful number since it is divisible by the number (10) 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 155228100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239463840).

155228100 is an abundant number, since it is smaller than the sum of its proper divisors (323699580).

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

155228100 is a wasteful number, since it uses less digits than its factorization.

155228100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 155228100 is about 12459.0569466553. The cubic root of 155228100 is about 537.4319077254.

The spelling of 155228100 in words is "one hundred fifty-five million, two hundred twenty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 113 114 150 190 226 228 241 285 300 339 380 452 475 482 565 570 678 723 950 964 1130 1140 1205 1356 1425 1446 1695 1900 2147 2260 2410 2825 2850 2892 3390 3615 4294 4579 4820 5650 5700 6025 6441 6780 7230 8475 8588 9158 10735 11300 12050 12882 13737 14460 16950 18075 18316 21470 22895 24100 25764 27233 27474 32205 33900 36150 42940 45790 53675 54466 54948 64410 68685 72300 81699 91580 107350 108932 114475 128820 136165 137370 161025 163398 214700 228950 272330 274740 322050 326796 343425 408495 457900 517427 544660 644100 680825 686850 816990 1034854 1361650 1373700 1552281 1633980 2042475 2069708 2587135 2723300 3104562 4084950 5174270 6209124 7761405 8169900 10348540 12935675 15522810 25871350 31045620 38807025 51742700 77614050 155228100