Search a number
-
+
224202141332200 = 235229211183201619
BaseRepresentation
bin110010111110100100100000…
…111111011111001011101000
31002101211111220201100220012201
4302332210200333133023220
5213341311441140112300
62112501013011545544
765140033032330553
oct6276444077371350
91071744821326181
10224202141332200
116548a659931789
122118ba635bb2b4
13981422c1ba385
143d5162782b69a
151adc02b33366a
hexcbe920fdf2e8

224202141332200 has 96 divisors (see below), whose sum is σ = 541800470988000. Its totient is φ = 86178041107200.

The previous prime is 224202141332149. The next prime is 224202141332203. The reversal of 224202141332200 is 2233141202422.

It is not an unprimeable number, because it can be changed into a prime (224202141332203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90377010 + ... + 92824609.

It is an arithmetic number, because the mean of its divisors is an integer number (5643754906125).

Almost surely, 2224202141332200 is an apocalyptic number.

224202141332200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224202141332200 is an abundant number, since it is smaller than the sum of its proper divisors (317598329655800).

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

224202141332200 is a wasteful number, since it uses less digits than its factorization.

224202141332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183201875 (or 183201866 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 224202141332200 its reverse (2233141202422), we get a palindrome (226435282534622).

The spelling of 224202141332200 in words is "two hundred twenty-four trillion, two hundred two billion, one hundred forty-one million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 211 232 290 422 580 725 844 1055 1160 1450 1688 2110 2900 4220 5275 5800 6119 8440 10550 12238 21100 24476 30595 42200 48952 61190 122380 152975 244760 305950 611900 1223800 183201619 366403238 732806476 916008095 1465612952 1832016190 3664032380 4580040475 5312846951 7328064760 9160080950 10625693902 18320161900 21251387804 26564234755 36640323800 38655541609 42502775608 53128469510 77311083218 106256939020 132821173775 154622166436 193277708045 212513878040 265642347550 309244332872 386555416090 531284695100 773110832180 966388540225 1062569390200 1121010706661 1546221664360 1932777080450 2242021413322 3865554160900 4484042826644 5605053533305 7731108321800 8968085653288 11210107066610 22420214133220 28025267666525 44840428266440 56050535333050 112101070666100 224202141332200