Search a number
-
+
1423013220 = 22325172320219
BaseRepresentation
bin101010011010001…
…0111010101100100
310200011122120011100
41110310113111210
510403242410340
6353112040100
750156261406
oct12464272544
93604576140
101423013220
11670287992
12338693030
13198a78575
14d6dc2b76
1584ddd830
hex54d17564

1423013220 has 144 divisors (see below), whose sum is σ = 4769331840. Its totient is φ = 341603328.

The previous prime is 1423013191. The next prime is 1423013239. The reversal of 1423013220 is 223103241.

1423013220 is a `hidden beast` number, since 1 + 42 + 301 + 322 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1423013193 and 1423013202.

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, 60271 + ... + 80489.

It is an arithmetic number, because the mean of its divisors is an integer number (33120360).

Almost surely, 21423013220 is an apocalyptic number.

1423013220 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 1423013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384665920).

1423013220 is an abundant number, since it is smaller than the sum of its proper divisors (3346318620).

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

1423013220 is a wasteful number, since it uses less digits than its factorization.

1423013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20274 (or 20269 counting only the distinct ones).

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

The square root of 1423013220 is about 37722.8474534996. The cubic root of 1423013220 is about 1124.7853338560.

Adding to 1423013220 its reverse (223103241), we get a palindrome (1646116461).

The spelling of 1423013220 in words is "one billion, four hundred twenty-three million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 23 30 34 36 45 46 51 60 68 69 85 90 92 102 115 138 153 170 180 204 207 230 255 276 306 340 345 391 414 460 510 612 690 765 782 828 1020 1035 1173 1380 1530 1564 1955 2070 2346 3060 3519 3910 4140 4692 5865 7038 7820 11730 14076 17595 20219 23460 35190 40438 60657 70380 80876 101095 121314 181971 202190 242628 303285 343723 363942 404380 465037 606570 687446 727884 909855 930074 1031169 1213140 1374892 1395111 1718615 1819710 1860148 2062338 2325185 2790222 3093507 3437230 3639420 4124676 4185333 4650370 5155845 5580444 6187014 6874460 6975555 7905629 8370666 9300740 10311690 12374028 13951110 15467535 15811258 16741332 20623380 20926665 23716887 27902220 30935070 31622516 39528145 41853330 47433774 61870140 71150661 79056290 83706660 94867548 118584435 142301322 158112580 237168870 284602644 355753305 474337740 711506610 1423013220