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102230220 = 223529411433
BaseRepresentation
bin1100001011111…
…10100011001100
321010100211111110
412011332203030
5202132331340
614051052020
72350641201
oct605764314
9233324443
10102230220
1152785094
122a2a1010
1318244971
14d811ca8
158e95680
hex617e8cc

102230220 has 96 divisors (see below), whose sum is σ = 303549120. Its totient is φ = 25661440.

The previous prime is 102230207. The next prime is 102230237. The reversal of 102230220 is 22032201.

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 = 102230196 and 102230205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70624 + ... + 72056.

It is an arithmetic number, because the mean of its divisors is an integer number (3161970).

Almost surely, 2102230220 is an apocalyptic number.

102230220 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 102230220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151774560).

102230220 is an abundant number, since it is smaller than the sum of its proper divisors (201318900).

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

102230220 is a wasteful number, since it uses less digits than its factorization.

102230220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1513 counting only the distinct ones).

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

The square root of 102230220 is about 10110.8961027201. The cubic root of 102230220 is about 467.5841327226.

Adding to 102230220 its reverse (22032201), we get a palindrome (124262421).

The spelling of 102230220 in words is "one hundred two million, two hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 41 58 60 82 87 116 123 145 164 174 205 246 290 348 410 435 492 580 615 820 870 1189 1230 1433 1740 2378 2460 2866 3567 4299 4756 5732 5945 7134 7165 8598 11890 14268 14330 17196 17835 21495 23780 28660 35670 41557 42990 58753 71340 83114 85980 117506 124671 166228 176259 207785 235012 249342 293765 352518 415570 498684 587530 623355 705036 831140 881295 1175060 1246710 1703837 1762590 2493420 3407674 3525180 5111511 6815348 8519185 10223022 17038370 20446044 25557555 34076740 51115110 102230220