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2344204221400 = 235261733262139
BaseRepresentation
bin100010000111001101011…
…101011011101111011000
322022002210121210222202101
4202013031131123233120
5301401412240041100
64552525040013144
7331235365053436
oct42071535335730
98262717728671
102344204221400
11824198195968
1231a3a53011b4
1314009946b7b2
14816626b3d56
1540ea12d886a
hex221cd75bbd8

2344204221400 has 96 divisors (see below), whose sum is σ = 5547202210800. Its totient is φ = 921048076800.

The previous prime is 2344204221383. The next prime is 2344204221419. The reversal of 2344204221400 is 41224024432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8811531 + ... + 9073669.

Almost surely, 22344204221400 is an apocalyptic number.

2344204221400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2344204221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773601105400).

2344204221400 is an abundant number, since it is smaller than the sum of its proper divisors (3202997989400).

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

2344204221400 is a wasteful number, since it uses less digits than its factorization.

2344204221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262949 (or 262940 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 2344204221400 its reverse (41224024432), we get a palindrome (2385428245832).

The spelling of 2344204221400 in words is "two trillion, three hundred forty-four billion, two hundred four million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 733 1220 1466 1525 2440 2932 3050 3665 5864 6100 7330 12200 14660 18325 29320 36650 44713 73300 89426 146600 178852 223565 262139 357704 447130 524278 894260 1048556 1117825 1310695 1788520 2097112 2235650 2621390 4471300 5242780 6553475 8942600 10485560 13106950 15990479 26213900 31980958 52427800 63961916 79952395 127923832 159904790 192147887 319809580 384295774 399761975 639619160 768591548 799523950 960739435 1537183096 1599047900 1921478870 3198095800 3842957740 4803697175 7685915480 9607394350 11721021107 19214788700 23442042214 38429577400 46884084428 58605105535 93768168856 117210211070 234420422140 293025527675 468840844280 586051055350 1172102110700 2344204221400