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151211220 = 22352943247
BaseRepresentation
bin10010000001101…
…00110011010100
3101112112022210120
421000310303110
5302202224340
623000551540
73514163016
oct1100646324
9345468716
10151211220
117839a256
12427825b0
13254342c4
14161221b6
15d41d4d0
hex9034cd4

151211220 has 144 divisors (see below), whose sum is σ = 457954560. Its totient is φ = 37218048.

The previous prime is 151211189. The next prime is 151211257. The reversal of 151211220 is 22112151.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 151211220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3217237 + ... + 3217283.

It is an arithmetic number, because the mean of its divisors is an integer number (3180240).

Almost surely, 2151211220 is an apocalyptic number.

151211220 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 151211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228977280).

151211220 is an abundant number, since it is smaller than the sum of its proper divisors (306743340).

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

151211220 is a wasteful number, since it uses less digits than its factorization.

151211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 151211220 is about 12296.7971439721. The cubic root of 151211220 is about 532.7555783425.

Adding to 151211220 its reverse (22112151), we get a palindrome (173323371).

The spelling of 151211220 in words is "one hundred fifty-one million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 43 47 58 60 86 87 94 116 129 141 145 172 174 188 215 235 258 282 290 348 430 435 470 516 564 580 645 705 860 870 940 1247 1290 1363 1410 1740 1849 2021 2494 2580 2726 2820 3698 3741 4042 4089 4988 5452 5547 6063 6235 6815 7396 7482 8084 8178 9245 10105 11094 12126 12470 13630 14964 16356 18490 18705 20210 20445 22188 24252 24940 27260 27735 30315 36980 37410 40420 40890 53621 55470 58609 60630 74820 81780 86903 107242 110940 117218 121260 160863 173806 175827 214484 234436 260709 268105 293045 321726 347612 351654 434515 521418 536210 586090 643452 703308 804315 869030 879135 1042836 1072420 1172180 1303545 1608630 1738060 1758270 2520187 2607090 3217260 3516540 5040374 5214180 7560561 10080748 12600935 15121122 25201870 30242244 37802805 50403740 75605610 151211220