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2235132268152 = 233722965538713
BaseRepresentation
bin100000100001101000010…
…000111100111001111000
321220200021012200200012020
4200201220100330321320
5243110022330040102
64430450001314440
7320324442543600
oct40415020747170
97820235620166
102235132268152
11791a06994043
12301225335a20
13132a063081a4
147a27686bc00
153d21a90cbbc
hex2086843ce78

2235132268152 has 96 divisors (see below), whose sum is σ = 6724272056400. Its totient is φ = 616588202496.

The previous prime is 2235132268147. The next prime is 2235132268183. The reversal of 2235132268152 is 2518622315322.

It is a happy number.

It is a super-2 number, since 2×22351322681522 (a number of 25 digits) contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 32735253 + ... + 32803460.

Almost surely, 22235132268152 is an apocalyptic number.

It is an amenable number.

2235132268152 is an abundant number, since it is smaller than the sum of its proper divisors (4489139788248).

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

2235132268152 is a wasteful number, since it uses less digits than its factorization.

2235132268152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65538765 (or 65538754 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The spelling of 2235132268152 in words is "two trillion, two hundred thirty-five billion, one hundred thirty-two million, two hundred sixty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 232 294 348 392 406 588 609 696 812 1176 1218 1421 1624 2436 2842 4263 4872 5684 8526 11368 17052 34104 65538713 131077426 196616139 262154852 393232278 458770991 524309704 786464556 917541982 1376312973 1572929112 1835083964 1900622677 2752625946 3211396937 3670167928 3801245354 5505251892 5701868031 6422793874 7602490708 9634190811 11010503784 11403736062 12845587748 13304358739 15204981416 19268381622 22807472124 25691175496 26608717478 38536763244 39913076217 45614944248 53217434956 77073526488 79826152434 93130511173 106434869912 159652304868 186261022346 279391533519 319304609736 372522044692 558783067038 745044089384 1117566134076 2235132268152