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222150480 = 24357113037
BaseRepresentation
bin11010011110110…
…11111101010000
3120111000102011120
431033123331100
5423332303410
634013242240
75335151016
oct1517337520
9514012146
10222150480
11104441a42
1262493380
13370414b6
142170a8b6
1514782570
hexd3dbf50

222150480 has 80 divisors (see below), whose sum is σ = 698419584. Its totient is φ = 58401280.

The previous prime is 222150443. The next prime is 222150541. The reversal of 222150480 is 84051222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 222150480.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10522 + ... + 23558.

Almost surely, 2222150480 is an apocalyptic number.

222150480 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 222150480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349209792).

222150480 is an abundant number, since it is smaller than the sum of its proper divisors (476269104).

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

222150480 is a wasteful number, since it uses less digits than its factorization.

222150480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13124 (or 13118 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 222150480 is about 14904.7133484680. The cubic root of 222150480 is about 605.6416751270.

The spelling of 222150480 in words is "two hundred twenty-two million, one hundred fifty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 13037 17040 26074 39111 52148 65185 78222 104296 130370 156444 195555 208592 260740 312888 391110 521480 625776 782220 925627 1042960 1564440 1851254 2776881 3128880 3702508 4628135 5553762 7405016 9256270 11107524 13884405 14810032 18512540 22215048 27768810 37025080 44430096 55537620 74050160 111075240 222150480