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2142244520 = 2351343149643
BaseRepresentation
bin111111110110000…
…0000111010101000
312112022000022000122
41333230000322220
513341403311040
6552323422412
7104041530563
oct17754007250
95468008018
102142244520
119aa272019
124b9524a08
13281a8c210
141647254da
15c810e1b5
hex7fb00ea8

2142244520 has 128 divisors (see below), whose sum is σ = 5355504000. Its totient is φ = 766209024.

The previous prime is 2142244519. The next prime is 2142244549. The reversal of 2142244520 is 254422412.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2142244520.

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, 3331319 + ... + 3331961.

It is an arithmetic number, because the mean of its divisors is an integer number (41839875).

Almost surely, 22142244520 is an apocalyptic number.

2142244520 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 2142244520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677752000).

2142244520 is an abundant number, since it is smaller than the sum of its proper divisors (3213259480).

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

2142244520 is a wasteful number, since it uses less digits than its factorization.

2142244520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 2142244520 is about 46284.3874324809. The cubic root of 2142244520 is about 1289.1091178816.

Adding to 2142244520 its reverse (254422412), we get a palindrome (2396666932).

The spelling of 2142244520 in words is "two billion, one hundred forty-two million, two hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 149 172 215 260 298 344 430 520 559 596 643 745 860 1118 1192 1286 1490 1720 1937 2236 2572 2795 2980 3215 3874 4472 5144 5590 5960 6407 6430 7748 8359 9685 11180 12814 12860 15496 16718 19370 22360 25628 25720 27649 32035 33436 38740 41795 51256 55298 64070 66872 77480 83291 83590 95807 110596 128140 138245 166582 167180 191614 221192 256280 276490 333164 334360 359437 383228 416455 479035 552980 666328 718874 766456 832910 958070 1105960 1245491 1437748 1665820 1797185 1916140 2490982 2875496 3331640 3594370 3832280 4119701 4981964 6227455 7188740 8239402 9963928 12454910 14377480 16478804 20598505 24909820 32957608 41197010 49819640 53556113 82394020 107112226 164788040 214224452 267780565 428448904 535561130 1071122260 2142244520