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2191925124 = 2238174
BaseRepresentation
bin1000001010100110…
…0001111110000100
312122202111100000000
42002221201332010
513442113100444
61001300321300
7105214025154
oct20251417604
95582440000
102191925124
11a25314874
125120a3230
1328c16511c
1416b178764
15cc674469
hex82a61f84

2191925124 has 135 divisors (see below), whose sum is σ = 6113101267. Its totient is φ = 687662784.

The previous prime is 2191925117. The next prime is 2191925189. The reversal of 2191925124 is 4215291912.

The square root of 2191925124 is 46818.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 680270724 + 1511654400 = 26082^2 + 38880^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=153.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

Its product of digits (12960) is a multiple of the sum of its prime factors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 128936764 + ... + 128936780.

Almost surely, 22191925124 is an apocalyptic number.

2191925124 is the 46818-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2191925124

2191925124 is an abundant number, since it is smaller than the sum of its proper divisors (3921176143).

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

2191925124 is an frugal number, since it uses more digits than its factorization.

2191925124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 22 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The cubic root of 2191925124 is about 1298.9982665627.

Multiplying 2191925124 by its sum of digits (36), we get a square (78909304464 = 2809082).

2191925124 divided by its sum of digits (36) gives a square (60886809 = 78032).

The spelling of 2191925124 in words is "two billion, one hundred ninety-one million, nine hundred twenty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 289 306 324 459 486 578 612 729 867 918 972 1156 1377 1458 1734 1836 2187 2601 2754 2916 3468 4131 4374 4913 5202 5508 6561 7803 8262 8748 9826 10404 12393 13122 14739 15606 16524 19652 23409 24786 26244 29478 31212 37179 44217 46818 49572 58956 70227 74358 83521 88434 93636 111537 132651 140454 148716 167042 176868 210681 223074 250563 265302 280908 334084 397953 421362 446148 501126 530604 632043 751689 795906 842724 1002252 1193859 1264086 1503378 1591812 1896129 2255067 2387718 2528172 3006756 3581577 3792258 4510134 4775436 6765201 7163154 7584516 9020268 10744731 13530402 14326308 20295603 21489462 27060804 32234193 40591206 42978924 60886809 64468386 81182412 121773618 128936772 182660427 243547236 365320854 547981281 730641708 1095962562 2191925124