Search a number
-
+
22246693350 = 2352728336467
BaseRepresentation
bin10100101110000000…
…011001100111100110
32010102102002010010120
4110232000121213212
5331030123141400
614115303502410
71415202526200
oct245600314746
963372063116
1022246693350
119486750a92
12438a457a06
132136ca759b
141110839770
158a310cca0
hex52e0199e6

22246693350 has 144 divisors (see below), whose sum is σ = 64954467648. Its totient is φ = 5023556160.

The previous prime is 22246693349. The next prime is 22246693393. The reversal of 22246693350 is 5339664222.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 591817 + ... + 628283.

It is an arithmetic number, because the mean of its divisors is an integer number (451072692).

Almost surely, 222246693350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22246693350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32477233824).

22246693350 is an abundant number, since it is smaller than the sum of its proper divisors (42707774298).

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

22246693350 is a wasteful number, since it uses less digits than its factorization.

22246693350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36579 (or 36567 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 22246693350 in words is "twenty-two billion, two hundred forty-six million, six hundred ninety-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 83 98 105 147 150 166 175 210 245 249 294 350 415 490 498 525 581 735 830 1050 1162 1225 1245 1470 1743 2075 2450 2490 2905 3486 3675 4067 4150 5810 6225 7350 8134 8715 12201 12450 14525 17430 20335 24402 29050 36467 40670 43575 61005 72934 87150 101675 109401 122010 182335 203350 218802 255269 305025 364670 510538 547005 610050 765807 911675 1094010 1276345 1531614 1786883 1823350 2552690 2735025 3026761 3573766 3829035 5360649 5470050 6053522 6381725 7658070 8934415 9080283 10721298 12763450 15133805 17868830 18160566 19145175 21187327 26803245 30267610 38290350 42374654 44672075 45401415 53606490 63561981 75669025 89344150 90802830 105936635 127123962 134016225 148311289 151338050 211873270 227007075 268032450 296622578 317809905 444933867 454014150 529683175 635619810 741556445 889867734 1059366350 1483112890 1589049525 2224669335 3178099050 3707782225 4449338670 7415564450 11123346675 22246693350