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354224302022100 = 223522143550978849
BaseRepresentation
bin101000010001010100100010…
…1101100010101110111010100
31201110012111211122121212120010
41100202221011230111313110
5332412102332304201400
63253212221534240220
7134416601264022606
oct12042510554256724
91643174748555503
10354224302022100
11a2959756979264
123388b062056070
1312286292997003
146368794c39176
152ae42c119c450
hex1422a45b15dd4

354224302022100 has 72 divisors (see below), whose sum is σ = 1025367232019200. Its totient is φ = 94415735393280.

The previous prime is 354224302021987. The next prime is 354224302022117. The reversal of 354224302022100 is 1220203422453.

It is a super-3 number, since 3×3542243020221003 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 274846525 + ... + 276132324.

Almost surely, 2354224302022100 is an apocalyptic number.

354224302022100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354224302022100 is an abundant number, since it is smaller than the sum of its proper divisors (671142929997100).

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

354224302022100 is a wasteful number, since it uses less digits than its factorization.

354224302022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550981009 (or 550981002 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 354224302022100 its reverse (1220203422453), we get a palindrome (355444505444553).

The spelling of 354224302022100 in words is "three hundred fifty-four trillion, two hundred twenty-four billion, three hundred two million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2143 4286 6429 8572 10715 12858 21430 25716 32145 42860 53575 64290 107150 128580 160725 214300 321450 642900 550978849 1101957698 1652936547 2203915396 2754894245 3305873094 5509788490 6611746188 8264682735 11019576980 13774471225 16529365470 27548942450 33058730940 41323413675 55097884900 82646827350 165293654700 1180747673407 2361495346814 3542243020221 4722990693628 5903738367035 7084486040442 11807476734070 14168972080884 17711215101105 23614953468140 29518691835175 35422430202210 59037383670350 70844860404420 88556075505525 118074767340700 177112151011050 354224302022100