Search a number
-
+
23214714000 = 2435310973527
BaseRepresentation
bin10101100111101101…
…000110110010010000
32012220212120122211020
4111213231012302100
5340020431322000
614355323515440
71451165545632
oct254755066220
965825518736
1023214714000
119933112255
1245ba688b80
13225c6c887a
1411a3220a52
1590d0c3ba0
hex567b46c90

23214714000 has 160 divisors (see below), whose sum is σ = 74933703936. Its totient is φ = 6183193600.

The previous prime is 23214713999. The next prime is 23214714001. The reversal of 23214714000 is 41741232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23214713999) and next prime (23214714001).

It is a super-2 number, since 2×232147140002 (a number of 22 digits) contains 22 as substring.

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

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (23214714001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6580237 + ... + 6583763.

Almost surely, 223214714000 is an apocalyptic number.

23214714000 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 23214714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37466851968).

23214714000 is an abundant number, since it is smaller than the sum of its proper divisors (51718989936).

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

23214714000 is a wasteful number, since it uses less digits than its factorization.

23214714000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4650 (or 4634 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 23214714000 in words is "twenty-three billion, two hundred fourteen million, seven hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1097 1200 1500 2000 2194 3000 3291 3527 4388 5485 6000 6582 7054 8776 10581 10970 13164 14108 16455 17552 17635 21162 21940 26328 27425 28216 32910 35270 42324 43880 52656 52905 54850 56432 65820 70540 82275 84648 87760 88175 105810 109700 131640 137125 141080 164550 169296 176350 211620 219400 263280 264525 274250 282160 329100 352700 411375 423240 438800 440875 529050 548500 658200 705400 822750 846480 881750 1058100 1097000 1316400 1322625 1410800 1645500 1763500 2116200 2194000 2645250 3291000 3527000 3869119 4232400 5290500 6582000 7054000 7738238 10581000 11607357 15476476 19345595 21162000 23214714 30952952 38691190 46429428 58036785 61905904 77382380 92858856 96727975 116073570 154764760 185717712 193455950 232147140 290183925 309529520 386911900 464294280 483639875 580367850 773823800 928588560 967279750 1160735700 1450919625 1547647600 1934559500 2321471400 2901839250 3869119000 4642942800 5803678500 7738238000 11607357000 23214714000