Search a number
-
+
225410121200 = 245211291766537
BaseRepresentation
bin1101000111101101111…
…1010111110111110000
3210112211012220120211102
43101323133113313300
512143114442334300
6251315121103532
722166605263005
oct3217337276760
9715735816742
10225410121200
1187661156370
1237829487ba8
13183437cba54
14aca4b058ac
155ce41590d5
hex347b7d7df0

225410121200 has 120 divisors (see below), whose sum is σ = 611151486480. Its totient is φ = 79140812800.

The previous prime is 225410121197. The next prime is 225410121227. The reversal of 225410121200 is 2121014522.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 755669 + ... + 1010868.

It is an arithmetic number, because the mean of its divisors is an integer number (5092929054).

Almost surely, 2225410121200 is an apocalyptic number.

225410121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225410121200 is an abundant number, since it is smaller than the sum of its proper divisors (385741365280).

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

225410121200 is a wasteful number, since it uses less digits than its factorization.

225410121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766595 (or 1766584 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 225410121200 its reverse (2121014522), we get a palindrome (227531135722).

The spelling of 225410121200 in words is "two hundred twenty-five billion, four hundred ten million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 29 40 44 50 55 58 80 88 100 110 116 145 176 200 220 232 275 290 319 400 440 464 550 580 638 725 880 1100 1160 1276 1450 1595 2200 2320 2552 2900 3190 4400 5104 5800 6380 7975 11600 12760 15950 25520 31900 63800 127600 1766537 3533074 7066148 8832685 14132296 17665370 19431907 28264592 35330740 38863814 44163425 51229573 70661480 77727628 88326850 97159535 102459146 141322960 155455256 176653700 194319070 204918292 256147865 310910512 353307400 388638140 409836584 485797675 512295730 563525303 706614800 777276280 819673168 971595350 1024591460 1127050606 1280739325 1554552560 1943190700 2049182920 2254101212 2561478650 2817626515 3886381400 4098365840 4508202424 5122957300 5635253030 7772762800 9016404848 10245914600 11270506060 14088132575 20491829200 22541012120 28176265150 45082024240 56352530300 112705060600 225410121200