Search a number
-
+
2422010153199 = 371329669299027
BaseRepresentation
bin100011001111101011000…
…011100000100011101111
322120112122001101212000010
4203033223003200203233
5304140234044400244
65052353415104303
7336661445422650
oct43175303404357
98515561355003
102422010153199
1185419465403a
1233149a372093
13147518b6abb0
1485323cb7527
1543006d5ceb9
hex233eb0e08ef

2422010153199 has 32 divisors (see below), whose sum is σ = 3974728020480. Its totient is φ = 1277496484992.

The previous prime is 2422010153159. The next prime is 2422010153201. The reversal of 2422010153199 is 9913510102242.

It is not a de Polignac number, because 2422010153199 - 29 = 2422010152687 is a prime.

It is a super-3 number, since 3×24220101531993 (a number of 38 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422010153159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7950124 + ... + 8249150.

It is an arithmetic number, because the mean of its divisors is an integer number (124210250640).

Almost surely, 22422010153199 is an apocalyptic number.

2422010153199 is a deficient number, since it is larger than the sum of its proper divisors (1552717867281).

2422010153199 is a wasteful number, since it uses less digits than its factorization.

2422010153199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328719.

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 2422010153199 in words is "two trillion, four hundred twenty-two billion, ten million, one hundred fifty-three thousand, one hundred ninety-nine".

Divisors: 1 3 7 13 21 39 91 273 29669 89007 207683 299027 385697 623049 897081 1157091 2093189 2699879 3887351 6279567 8099637 11662053 27211457 81634371 8871832063 26615496189 62102824441 115333816819 186308473323 346001450457 807336717733 2422010153199