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102230260 = 225111937661
BaseRepresentation
bin1100001011111…
…10100011110100
321010100211112221
412011332203310
5202132332020
614051052124
72350641256
oct605764364
9233324487
10102230260
1152785120
122a2a1044
13182449a2
14d811cd6
158e956aa
hex617e8f4

102230260 has 96 divisors (see below), whose sum is σ = 253572480. Its totient is φ = 34214400.

The previous prime is 102230257. The next prime is 102230263. The reversal of 102230260 is 62032201.

It is an interprime number because it is at equal distance from previous prime (102230257) and next prime (102230263).

It is a super-3 number, since 3×1022302603 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102230263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154330 + ... + 154990.

It is an arithmetic number, because the mean of its divisors is an integer number (2641380).

Almost surely, 2102230260 is an apocalyptic number.

102230260 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 102230260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126786240).

102230260 is an abundant number, since it is smaller than the sum of its proper divisors (151342220).

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

102230260 is a wasteful number, since it uses less digits than its factorization.

102230260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 102230260 is about 10110.8980807839. The cubic root of 102230260 is about 467.5841937071.

Adding to 102230260 its reverse (62032201), we get a palindrome (164262461).

The spelling of 102230260 in words is "one hundred two million, two hundred thirty thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 19 20 22 37 38 44 55 74 76 95 110 148 185 190 209 220 370 380 407 418 661 703 740 814 836 1045 1322 1406 1628 2035 2090 2644 2812 3305 3515 4070 4180 6610 7030 7271 7733 8140 12559 13220 14060 14542 15466 24457 25118 29084 30932 36355 38665 48914 50236 62795 72710 77330 97828 122285 125590 138149 145420 154660 244570 251180 269027 276298 464683 489140 538054 552596 690745 929366 1076108 1345135 1381490 1858732 2323415 2690270 2762980 4646830 5111513 5380540 9293660 10223026 20446052 25557565 51115130 102230260