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232210020 = 223572194157
BaseRepresentation
bin11011101011100…
…11111001100100
3121011221111021010
431311303321210
5433421210040
635013022220
75516516100
oct1565637144
9534844233
10232210020
1110a092909
1265924970
13391541a3
1422ba8900
15155bce80
hexdd73e64

232210020 has 144 divisors (see below), whose sum is σ = 796340160. Its totient is φ = 50270976.

The previous prime is 232209983. The next prime is 232210051. The reversal of 232210020 is 20012232.

It is a super-3 number, since 3×2322100203 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 232209978 and 232210005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53782 + ... + 57938.

It is an arithmetic number, because the mean of its divisors is an integer number (5530140).

Almost surely, 2232210020 is an apocalyptic number.

232210020 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 232210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398170080).

232210020 is an abundant number, since it is smaller than the sum of its proper divisors (564130140).

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

232210020 is a wasteful number, since it uses less digits than its factorization.

232210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 232210020 is about 15238.4388964224. The cubic root of 232210020 is about 614.6487253016.

Adding to 232210020 its reverse (20012232), we get a palindrome (252222252).

The spelling of 232210020 in words is "two hundred thirty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 49 57 60 70 76 84 95 98 105 114 133 140 147 190 196 210 228 245 266 285 294 380 399 420 490 532 570 588 665 735 798 931 980 1140 1330 1470 1596 1862 1995 2660 2793 2940 3724 3990 4157 4655 5586 7980 8314 9310 11172 12471 13965 16628 18620 20785 24942 27930 29099 41570 49884 55860 58198 62355 78983 83140 87297 116396 124710 145495 157966 174594 203693 236949 249420 290990 315932 349188 394915 407386 436485 473898 552881 581980 611079 789830 814772 872970 947796 1018465 1105762 1184745 1222158 1579660 1658643 1745940 2036930 2211524 2369490 2444316 2764405 3055395 3317286 3870167 4073860 4738980 5528810 6110790 6634572 7740334 8293215 11057620 11610501 12221580 15480668 16586430 19350835 23221002 33172860 38701670 46442004 58052505 77403340 116105010 232210020