Search a number
-
+
2151224520 = 2335151227523
BaseRepresentation
bin1000000000111001…
…0001010011001000
312112220220112021020
42000032101103020
513401203141040
6553244112440
7104211051414
oct20016212310
95486815236
102151224520
11a04345905
12500535720
132838b4723
141659c1d44
15c8cd4cd0
hex803914c8

2151224520 has 128 divisors (see below), whose sum is σ = 6537507840. Its totient is φ = 566265600.

The previous prime is 2151224507. The next prime is 2151224533. The reversal of 2151224520 is 254221512.

It is an interprime number because it is at equal distance from previous prime (2151224507) and next prime (2151224533).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4112979 + ... + 4113501.

It is an arithmetic number, because the mean of its divisors is an integer number (51074280).

Almost surely, 22151224520 is an apocalyptic number.

2151224520 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 2151224520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268753920).

2151224520 is an abundant number, since it is smaller than the sum of its proper divisors (4386283320).

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

2151224520 is a wasteful number, since it uses less digits than its factorization.

2151224520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2151224520 is about 46381.2949366444. The cubic root of 2151224520 is about 1290.9078640169.

The spelling of 2151224520 in words is "two billion, one hundred fifty-one million, two hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 227 302 453 454 523 604 681 755 906 908 1046 1135 1208 1362 1510 1569 1812 1816 2092 2265 2270 2615 2724 3020 3138 3405 3624 4184 4530 4540 5230 5448 6040 6276 6810 7845 9060 9080 10460 12552 13620 15690 18120 20920 27240 31380 34277 62760 68554 78973 102831 118721 137108 157946 171385 205662 236919 237442 274216 315892 342770 356163 394865 411324 473838 474884 514155 593605 631784 685540 712326 789730 822648 947676 949768 1028310 1184595 1187210 1371080 1424652 1579460 1780815 1895352 2056620 2369190 2374420 2849304 3158920 3561630 4113240 4738380 4748840 7123260 9476760 14246520 17926871 35853742 53780613 71707484 89634355 107561226 143414968 179268710 215122452 268903065 358537420 430244904 537806130 717074840 1075612260 2151224520