Search a number
-
+
4225806900 = 2232527670763
BaseRepresentation
bin1111101111100000…
…1011001000110100
3101220111121020021200
43323320023020310
532123301310100
61535153412500
7206501523510
oct37370131064
911814536250
104225806900
1118793a32a7
1299b26a130
13524643273
142c1333140
1519aecae00
hexfbe0b234

4225806900 has 108 divisors (see below), whose sum is σ = 15137801952. Its totient is φ = 965897280.

The previous prime is 4225806899. The next prime is 4225806917. The reversal of 4225806900 is 96085224.

It is a happy number.

It is a super-2 number, since 2×42258069002 = 35714887912175220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 329082 + ... + 341681.

Almost surely, 24225806900 is an apocalyptic number.

It is an amenable number.

4225806900 is an abundant number, since it is smaller than the sum of its proper divisors (10911995052).

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

4225806900 is a wasteful number, since it uses less digits than its factorization.

4225806900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670790 (or 670780 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4225806900 is about 65006.2066267522. The cubic root of 4225806900 is about 1616.7264714948.

The spelling of 4225806900 in words is "four billion, two hundred twenty-five million, eight hundred six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 670763 1341526 2012289 2683052 3353815 4024578 4695341 6036867 6707630 8049156 9390682 10061445 12073734 13415260 14086023 16769075 18781364 20122890 23476705 24147468 28172046 30184335 33538150 40245780 42258069 46953410 50307225 56344092 60368670 67076300 70430115 84516138 93906820 100614450 117383525 120737340 140860230 150921675 169032276 201228900 211290345 234767050 281720460 301843350 352150575 422580690 469534100 603686700 704301150 845161380 1056451725 1408602300 2112903450 4225806900