Search a number
-
+
2230371450 = 23452796971
BaseRepresentation
bin1000010011110000…
…1100010001111010
312202102211121110000
42010330030101322
514031433341300
61005152333430
7106161562446
oct20474142172
95672747400
102230371450
11a44a9409a
12522b44276
13297106728
14172305826
15d0c1ac00
hex84f0c47a

2230371450 has 120 divisors (see below), whose sum is σ = 6276473280. Its totient is φ = 587152800.

The previous prime is 2230371443. The next prime is 2230371461. The reversal of 2230371450 is 541730322.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 316465 + ... + 323435.

It is an arithmetic number, because the mean of its divisors is an integer number (52303944).

Almost surely, 22230371450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230371450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138236640).

2230371450 is an abundant number, since it is smaller than the sum of its proper divisors (4046101830).

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

2230371450 is a wasteful number, since it uses less digits than its factorization.

2230371450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7074 (or 7060 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2230371450 is about 47226.8085942720. The cubic root of 2230371450 is about 1306.5490918637.

It can be divided in two parts, 2230 and 371450, that added together give a triangular number (373680 = T864).

The spelling of 2230371450 in words is "two billion, two hundred thirty million, three hundred seventy-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 79 81 90 135 150 158 162 225 237 270 395 405 450 474 675 711 790 810 1185 1350 1422 1975 2025 2133 2370 3555 3950 4050 4266 5925 6399 6971 7110 10665 11850 12798 13942 17775 20913 21330 31995 34855 35550 41826 53325 62739 63990 69710 104565 106650 125478 159975 174275 188217 209130 313695 319950 348550 376434 522825 550709 564651 627390 941085 1045650 1101418 1129302 1568475 1652127 1882170 2753545 2823255 3136950 3304254 4705425 4956381 5507090 5646510 8260635 9410850 9912762 13767725 14116275 14869143 16521270 24781905 27535450 28232550 29738286 41303175 44607429 49563810 74345715 82606350 89214858 123909525 148691430 223037145 247819050 371728575 446074290 743457150 1115185725 2230371450