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221620230 = 232513307617
BaseRepresentation
bin11010011010110…
…10100000000110
3120110000110210200
431031122200012
5423213321410
633554031330
75330512056
oct1515324006
9513013720
10221620230
1110410a617
1262278546
1336bb7040
142160d566
15146ca3c0
hexd35a806

221620230 has 96 divisors (see below), whose sum is σ = 623566944. Its totient is φ = 54286848.

The previous prime is 221620229. The next prime is 221620241. The reversal of 221620230 is 32026122.

221620230 is a `hidden beast` number, since 2 + 21 + 620 + 23 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358882 + ... + 359498.

It is an arithmetic number, because the mean of its divisors is an integer number (6495489).

Almost surely, 2221620230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221620230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311783472).

221620230 is an abundant number, since it is smaller than the sum of its proper divisors (401946714).

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

221620230 is a wasteful number, since it uses less digits than its factorization.

221620230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 221620230 is about 14886.9147240118. The cubic root of 221620230 is about 605.1594234148.

Adding to 221620230 its reverse (32026122), we get a palindrome (253646352).

The spelling of 221620230 in words is "two hundred twenty-one million, six hundred twenty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 307 390 585 614 617 921 1170 1234 1535 1842 1851 2763 3070 3085 3702 3991 4605 5526 5553 6170 7982 8021 9210 9255 11106 11973 13815 16042 18510 19955 23946 24063 27630 27765 35919 39910 40105 48126 55530 59865 71838 72189 80210 119730 120315 144378 179595 189419 240630 359190 360945 378838 568257 721890 947095 1136514 1704771 1894190 2462447 2841285 3409542 4924894 5682570 7387341 8523855 12312235 14774682 17047710 22162023 24624470 36936705 44324046 73873410 110810115 221620230