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2151071220 = 2235372933307
BaseRepresentation
bin1000000000110110…
…1011110111110100
312112220121201222110
42000031223313310
513401133234340
6553240531020
7104206542444
oct20015536764
95486551873
102151071220
11a04250711
12500480a70
1328385ca0c
14165982124
15c8ca4680
hex8036bdf4

2151071220 has 96 divisors (see below), whose sum is σ = 6208771968. Its totient is φ = 556042752.

The previous prime is 2151071213. The next prime is 2151071227. The reversal of 2151071220 is 221701512.

2151071220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2151071213) and next prime (2151071227).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151071227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648807 + ... + 652113.

It is an arithmetic number, because the mean of its divisors is an integer number (64674708).

Almost surely, 22151071220 is an apocalyptic number.

2151071220 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 2151071220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104385984).

2151071220 is an abundant number, since it is smaller than the sum of its proper divisors (4057700748).

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

2151071220 is a wasteful number, since it uses less digits than its factorization.

2151071220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 2151071220 is about 46379.6423013373. The cubic root of 2151071220 is about 1290.8771991755.

Adding to 2151071220 its reverse (221701512), we get a palindrome (2372772732).

The spelling of 2151071220 in words is "two billion, one hundred fifty-one million, seventy-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 293 370 444 555 586 740 879 1110 1172 1465 1758 2220 2930 3307 3516 4395 5860 6614 8790 9921 10841 13228 16535 17580 19842 21682 32523 33070 39684 43364 49605 54205 65046 66140 99210 108410 122359 130092 162615 198420 216820 244718 325230 367077 489436 611795 650460 734154 968951 1223590 1468308 1835385 1937902 2447180 2906853 3670770 3875804 4844755 5813706 7341540 9689510 11627412 14534265 19379020 29068530 35851187 58137060 71702374 107553561 143404748 179255935 215107122 358511870 430214244 537767805 717023740 1075535610 2151071220